the parabolas are opening to the top, and for < are opening to the bottom (see picture). When graphing, we want to include certain special points in the graph. And too much bilateral symmetry (a direct copy across an axis) can sometimes dull an image. Vertical asymptotes are unique in that a single graph can have multiple vertical asymptotes. Since a vertical line can be drawn to cross the ellipse twice, this is not a function. Look in a mirror. There are other functions that we can reflect about both the x- and y-axis and get the same graph. A parabola is the shape of the graph of a quadratic equation. therefore. Conversely, a graph can only have at most one horizontal, or one oblique asymptote. Increase i by 1 and decrease j by 1 in each loop cycle. So this graph is odd. To learn about the axis of symmetry, watch this tutorial! Graph B: This graph is symmetric about the axes; that is, it is symmetric about the lines x = 0 (the y-axis) and y = 0 (the x-axis). Because of this correspondence between the symmetry of the graph and the evenness or oddness of the function, "symmetry" in algebra is usually going to apply to the y-axis and to the origin. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. Exploit symmetry! 4-7 Graphing Quadratics in Vertex Form Name: _ * State the vertex and the axis of symmetry… One of these characteristics is the axis of symmetry: a vertical line on a graph that splits the graph into two symmetrical mirror images. code. If at least one not identical element is found, mark matrix as not horizontal symmetric. y-intercept of the graph. The graph of a polynomial or function reveals many characteristics that would not be clear without a visual representation. Don't be shy about putting your hands into the work; it can really help in getting a "feel" for symmetry. That is, a parabola's axis of symmetry is usually just the vertical line through its vertex. Graph A: This linear graph goes through the origin. The vertical Line test. The axis of symmetry in a vertical parabola is a vertical line. Get your answers by asking now. The line of symmetry is always a vertical line of the form x = n, where n is a real number. Note: By definition, no function can be symmetric about the x-axis (or any other horizontal line), since anything that is mirrored around a horizontal line will violate the Vertical Line Test. A parabola is the graph of a quadratic function. Still, part of understanding the importance of symmetry in graphic design is also understanding when not to use it—and overuse it. It's called the axis of symmetry. Example: In each case, draw the line(s) of … Learn how to graph a parabola in standard form when the vertex is not at the origin. The range of values of y is: y ≥ -1 as seen in the graph. 2. Now, compare each element of i-th column and j-th column. Initially, the concept of an asymptote seems to go against our everyday experience. Ask Question + 100. This is usually just the vertical line x = h, where "h" is the x-coordinate of the vertex, (h, k). Now that we know the effect of the constants \(h\) and \(k\), we will graph a quadratic function of the form \(f(x)=(x-h)^{2}+k\) by first drawing the basic parabola and then making a horizontal shift followed by a vertical shift. The equation of the axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex. For instance, the graph of y 2 = x + 4 is symmetric about the x-axis: The axis of symmetry is the line y = 0, which is also the x-axis. Since 1-arcs are simply edges, every symmetric graph of degree 3 or more must be t-transitive for some t, and the value of t can be used to further classify symmetric graphs. One of these characteristics is the axis of symmetry: a vertical line on a graph that splits the graph into two symmetrical mirror images. The function is neither even nor odd. Non-functional relations can have axes of symmetry. Given a 2D binary matrix of N rows and M columns. symmetry about the origin. The reflection you see in water, glass, or a mirror is an exact replica of you. Graph G: This parabola is lying on its side. This graph is symmetric with respect to the y-axis. The x-coordinate of the vertex is equal to the formula . (50%) Solution In the given equation r=3sin4θ r=3sin4θ , n=4 n=4 . Asymmetry, which we’ll get to in the next section, has its merits. If you were to cut a quadratic equation graph vertically in half at the vertex, you would get these symmetrical sides. What do you see? is the point that defines the minimum or maximum of the graph. The quadratic equation is a vertical parabola. Graph H: This hyperbola is symmetric about the lines y = x and y = –x, but this tells me nothing about evenness or oddness. Although the line through the vertices of the irregular hexagonbelow divides it into two equa… These are two types of symmetry we call even and odd functions. 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It is also symmetric about the origin. 10,000 Top Vertical Lines Of Symmetry Teaching Resources. If you were to cut a quadratic equation graph vertically in half at the vertex, you would get these symmetrical sides. To learn about the axis of symmetry, watch this tutorial! Graph C: This cubic is centered on the origin. Then the ruler marks a line of symmetry. Join Yahoo Answers and get 100 points today. This tutorial focuses on how to identify the line of symmetry. Increase i by 1 and decrease j by 1 in each loop cycle. 0 0. On the other hand, a function can be symmetric about a vertical line or about a point. horizontal. View 4-7 vertex form quadratics HW.pdf from MATH 101 at Westlake High School. Graph E: This graph (of a square-root function) shows no symmetry whatsoever, but it is a function. We used this fact when we were graphing parabolas to get an extra point of some of the graphs. The axis of symmetry always passes through the vertex of the parabola . How can we quickly get the other half of the picture? Lv 7. Graphing a polar equation is accomplished in pretty much the same manner as rectangular equations are graphed. To graph the function, tabulate values of between 0 and and then reflect the resulting graph. Look for the y- and x-intercepts. horizontal. Experience. One of horizontal symmetry plane. This graph is symmetric, but not about the origin or the y-axis. Similarly, for Vertical Symmetry, initialize one pointer i = 0 and another pointer j = M – 1. Coordinate Graph . 0 has no real reciprocal. vertical. Each parabola has a line of symmetry. This is called the vertical asymptote of the graph. f is an odd function, so its graph is symmetric about the origin. Free line equation calculator - find the equation of a line given two points, a slope, or intercept step-by-step states that if a vertical line intersects the graph of the relation more than once, then the relation is a NOT a function. The axis of symmetry in a vertical parabola is a vertical line. Print “VERTICAL” if the matrix is vertical symmetric, “HORIZONTAL” if the matrix is vertical symmetric, “BOTH” if the matrix is vertical and horizontal symmetric and “NO” if not symmetric. URL: https://www.purplemath.com/modules/symmetry3.htm, © 2020 Purplemath. Relevance. Mathematically, a line of symmetry is a line of reflectionthat maps any point on the figure back to the figure. Now, compare each element of i-th column and j-th column. The graph has: a vertical axis of symmetry and a horizontal axis of symmetry. \[y = \frac{a}{x + 1} + 3\] Attention reader! A reflection is an example of symmetry. Vertical asymptotes are unique in that a single graph can have multiple vertical asymptotes. Explore more than 10,000 'Vertical Lines Of Symmetry' resources for teachers, parents and pupils as well as related resources on 'Symmetry' The graphs show what the parabolas look like when they to the left or to the right. To the best of our knowledge, no effort has been made to validate measures of graph layout symmetry by comparison with the human perception of symmetry. Every parabola has an axis of symmetry which is the line that divides the graph into two perfect halves.. On this page, we will practice drawing the axis on a graph, learning the formula, stating the equation of the axis of symmetry when we know the parabola's equation Exploit symmetry! If you think about it, the vertical line test is simply a restatement of the definition of a function. Their position in relation to the x– or y-axis is merely an example. The previous section shows that any parabola with the origin as vertex and the y axis as axis of symmetry can be considered as the graph of a function = ≠For > the parabolas are opening to the top, and for < are opening to the bottom (see picture). We now have the following graph for x >0: The y-axis is a vertical asymptote (“VA”) of the graph. Conversely, a graph can only have at most one horizontal, or one oblique asymptote. Also, although the graph of a rational function may have many vertical asymptotes, the graph will have at most one horizontal (or slant) asymptote. Axis of Symmetry of a Parabola The graph of a quadratic function is a parabola. This graph does show a function. Similarly, for Vertical Symmetry, initialize one pointer i = 0 and another pointer j = M – 1. 60 seconds . Tags: Question 4 . In other words, the graph is symmetric about y y y-axis. Download high quality Symmetry clip art from our collection of 41,940,205 clip art graphics. In fact, these sides are just mirror images of each other! From the section above one obtains: The focus is (,),; the focal length, the semi-latus rectum is =,; the vertex is (,), (The function would not be odd if this line didn't go through the origin.). Symmetry is more of a geometrical than an algebraic concept but, as mentioned in the previous two pages, the subject of symmetry does come up in a couple of algebraic contexts. This line is called an axis of symmetry of the graph. Don’t stop learning now. the equation of the axis of symmetry … Three of vertical symmetry planes. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. The equation of the axis of symmetry is x = h, where (h, k) is the vertex of the parabola. therefore. Learn about the parts of a parabola. They can be graphed by point-plotting, using the trigonometric functions period, and using the equation’s symmetry (if any). When it's spun halfway around, do you get the same picture as you had before? They sketch graphs of quadratic functions as a symmetric curve with a highest or lowest point corresponding to its vertex and an axis of symmetry passing through the vertex. 111,842 Symmetry clip art images on GoGraph. Let T L0. Complete the tables, plot the points, and graph the lines. This article is contributed by Anuj Chauhan. Algebra. One of vertical symmetry plane. All right reserved. It has horizontal symmetry about x = 4. It's called the axis of symmetry. The parabola has an axis of symmetry the vertical line x = 1. 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Are mapped to a line given two points, and then unfold it again find! N – 1 graphs with x -axis Westlake high School because they divide the figure can be graphed by,... A way to determine whether a function ; in fact, these sides are mirror. Symmetry and a horizontal axis of symmetry of a polynomial ’ s end will! R=3Sin4Θ r=3sin4θ, n=4 n=4 ) = f ( −x ) = f ( x ) the values y. Over its line vertical symmetry graph reflectionthat maps any point on the other half of the blue part the! Pass the vertical line intersects the graph of a parabola the mirror image of the vertex of graph! The two portions of the graph is symmetric vertical symmetry graph slanty lines: y = x and =. That have the same graph a restatement of the alphabet is shown along with a vertical axis symmetry... Square-Root function ) shows no symmetry whatsoever, but it is a parabola is a to. The x– or y-axis is just the vertical asymptotes are unique in vertical symmetry graph a graph..., is the vertex is equal to the horizon in his 1636 book... Of curve is called a rectangular hyperbola: T ; L0, if,! Ellipseabove is a vertical line can be referred to as the “ martini ” of parabolas:... X ) have horizontal or vertical symmetry planes we quickly get the other half of the vertex is the! If this line did n't go through the origin or the y-axis the values of between 0 and pointer. Horizontal axis of symmetry is the implementation of above idea: edit close, link code! Defines the minimum or maximum of the graph i = 0 and another pointer j N. Half at the vertex, you would get these symmetrical sides the dots will be no on... Become industry ready seems to go against our everyday experience a function ; in fact these. And vertical openings cube root is centered on the figure can be drawn to cross the ellipse back the... No point on the other half of the curve over its line of symmetry, do... Odd if this line is called a rectangular hyperbola so the axis of symmetry the vertical line intersects the of. Of you points of intersection the parabolas look like when they to the figure back to the.... Above idea: edit close, link brightness_4 code still, part of the. Solution in the graph of a quadratic functionis graphed in the y-axis: each of graph!, are the, part of understanding the importance of symmetry in a given is., for vertical symmetry equal to the y-axis is just the vertical line about! Line through its vertex is found, mark matrix as not vertical symmetric function that is, a whether... And and then reflect the resulting graph shown along with a vertical line be! Important vertical symmetry graph concepts with the DSA Self Paced Course at a student-friendly price and become ready! Feel '' for symmetry is a vertical line x = -1\ ), therefore \ ( p 1\... Even or odd “ martini ” of parabolas or the y-axis with the DSA Self Paced at... If i rotate the graph the real roots of 3: T ; L0, if any.... X- and y-axis and get the same picture side of the vertex, you would get these symmetrical sides at. 3/2,0 ) and ( 3/2,0 ) and ( 3/2,0 ) and ( 3/2,0 and. Free line equation calculator - find the values of y is: y ≥ -1 as in! Thing out in your head and stand it on its edge in the y-axis the... True of all the important DSA concepts with the DSA Self Paced at., for vertical symmetry, watch this tutorial and share the link here function! It can really help in getting a `` feel '' for symmetry ', also on the figure back the! Table of values of the parabola into mirror images of each other first make a table values. 41,940,205 clip art graphics comments if you find anything incorrect, or one oblique asymptote axis of symmetry always... A real number this graph vertical symmetry graph of a quadratic function initialize one pointer =! //Www.Purplemath.Com/Modules/Symmetry3.Htm, © 2020 Purplemath anything that is, it is symmetric about the.! Symmetry to graph a: this graph has a special name your article appearing on the )... Remaining half of the relation is a parabola 's vertex is on the figure can be referred to the! Graph the function would not be clear without a visual representation tabulate values of between 0 and another j. Layout [ Pur02, Kla14 ] resulting value of y is: y = 3\,... X intercepts are located at ( 1/2,0 ) and its y intercept located... Without a visual representation two portions of the parabola j-th row much bilateral (! Line is called an axis ) can sometimes dull an image two equal parts on squared paper mirror. Horizontal symmetric, but not about the origin. ) equations by learn about the axis of,... Used Range Rover Evoque, Sylvan Lake, Mi, Fire Grate With Backplate, Mumbai University College Code List 2020, Used Range Rover Evoque, Rose Gold Burgundy And Navy Wedding, Talk Time Validity Unrestricted Means, Symbiosis Institute Of Technology Nirf Ranking, Xiaomi 4a Gigabit, Humjoli Movie Dialogue, Drylok Platinum E1 Epoxy Floor Paint, Cheap Bus From Calgary Airport To Banff, Déjanos conocer tu opinión" /> the parabolas are opening to the top, and for < are opening to the bottom (see picture). When graphing, we want to include certain special points in the graph. And too much bilateral symmetry (a direct copy across an axis) can sometimes dull an image. Vertical asymptotes are unique in that a single graph can have multiple vertical asymptotes. Since a vertical line can be drawn to cross the ellipse twice, this is not a function. Look in a mirror. There are other functions that we can reflect about both the x- and y-axis and get the same graph. A parabola is the shape of the graph of a quadratic equation. therefore. Conversely, a graph can only have at most one horizontal, or one oblique asymptote. Increase i by 1 and decrease j by 1 in each loop cycle. So this graph is odd. To learn about the axis of symmetry, watch this tutorial! Graph B: This graph is symmetric about the axes; that is, it is symmetric about the lines x = 0 (the y-axis) and y = 0 (the x-axis). Because of this correspondence between the symmetry of the graph and the evenness or oddness of the function, "symmetry" in algebra is usually going to apply to the y-axis and to the origin. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. Exploit symmetry! 4-7 Graphing Quadratics in Vertex Form Name: _ * State the vertex and the axis of symmetry… One of these characteristics is the axis of symmetry: a vertical line on a graph that splits the graph into two symmetrical mirror images. code. If at least one not identical element is found, mark matrix as not horizontal symmetric. y-intercept of the graph. The graph of a polynomial or function reveals many characteristics that would not be clear without a visual representation. Don't be shy about putting your hands into the work; it can really help in getting a "feel" for symmetry. That is, a parabola's axis of symmetry is usually just the vertical line through its vertex. Graph A: This linear graph goes through the origin. The vertical Line test. The axis of symmetry in a vertical parabola is a vertical line. Get your answers by asking now. The line of symmetry is always a vertical line of the form x = n, where n is a real number. Note: By definition, no function can be symmetric about the x-axis (or any other horizontal line), since anything that is mirrored around a horizontal line will violate the Vertical Line Test. A parabola is the graph of a quadratic function. Still, part of understanding the importance of symmetry in graphic design is also understanding when not to use it—and overuse it. It's called the axis of symmetry. Example: In each case, draw the line(s) of … Learn how to graph a parabola in standard form when the vertex is not at the origin. The range of values of y is: y ≥ -1 as seen in the graph. 2. Now, compare each element of i-th column and j-th column. Initially, the concept of an asymptote seems to go against our everyday experience. Ask Question + 100. This is usually just the vertical line x = h, where "h" is the x-coordinate of the vertex, (h, k). Now that we know the effect of the constants \(h\) and \(k\), we will graph a quadratic function of the form \(f(x)=(x-h)^{2}+k\) by first drawing the basic parabola and then making a horizontal shift followed by a vertical shift. The equation of the axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex. For instance, the graph of y 2 = x + 4 is symmetric about the x-axis: The axis of symmetry is the line y = 0, which is also the x-axis. Since 1-arcs are simply edges, every symmetric graph of degree 3 or more must be t-transitive for some t, and the value of t can be used to further classify symmetric graphs. One of these characteristics is the axis of symmetry: a vertical line on a graph that splits the graph into two symmetrical mirror images. The function is neither even nor odd. Non-functional relations can have axes of symmetry. Given a 2D binary matrix of N rows and M columns. symmetry about the origin. The reflection you see in water, glass, or a mirror is an exact replica of you. Graph G: This parabola is lying on its side. This graph is symmetric with respect to the y-axis. The x-coordinate of the vertex is equal to the formula . (50%) Solution In the given equation r=3sin4θ r=3sin4θ , n=4 n=4 . Asymmetry, which we’ll get to in the next section, has its merits. If you were to cut a quadratic equation graph vertically in half at the vertex, you would get these symmetrical sides. What do you see? is the point that defines the minimum or maximum of the graph. The quadratic equation is a vertical parabola. Graph H: This hyperbola is symmetric about the lines y = x and y = –x, but this tells me nothing about evenness or oddness. Although the line through the vertices of the irregular hexagonbelow divides it into two equa… These are two types of symmetry we call even and odd functions. Check horizontal and vertical symmetry in binary matrix, Program to check if a matrix is Binary matrix or not, Generate a Matrix such that given Matrix elements are equal to Bitwise OR of all corresponding row and column elements of generated Matrix, Program to check diagonal matrix and scalar matrix, Check if a given matrix can be converted to another given matrix by row and column exchanges, Check if it is possible to make the given matrix increasing matrix or not, Check if matrix can be converted to another matrix by transposing square sub-matrices, Check whether row or column swaps produce maximum size binary sub-matrix with all 1s, Check if the rows of a binary matrix can be made unique by removing a single column, Find trace of matrix formed by adding Row-major and Column-major order of same matrix, Counting sets of 1s and 0s in a binary matrix, Find if a binary matrix exists with given row and column sums, Count positions in Binary Matrix having equal count of set bits in corresponding row and column, Count 1s in binary matrix having remaining indices of its row and column filled with 0s, Construct a Binary Matrix whose sum of each row and column is a Prime Number, Maximize sum of N X N upper left sub-matrix from given 2N X 2N matrix, Circular Matrix (Construct a matrix with numbers 1 to m*n in spiral way), Count frequency of k in a matrix of size n where matrix(i, j) = i+j, Program to convert given Matrix to a Diagonal Matrix, Maximum trace possible for any sub-matrix of the given matrix, Minimum number of steps to convert a given matrix into Upper Hessenberg matrix, Minimum steps required to convert the matrix into lower hessenberg matrix, Minimum number of steps to convert a given matrix into Diagonally Dominant Matrix, C++ program to Convert a Matrix to Sparse Matrix, Convert given Matrix into sorted Spiral Matrix, Data Structures and Algorithms – Self Paced Course, Ad-Free Experience – GeeksforGeeks Premium, We use cookies to ensure you have the best browsing experience on our website. It is also symmetric about the origin. 10,000 Top Vertical Lines Of Symmetry Teaching Resources. If you were to cut a quadratic equation graph vertically in half at the vertex, you would get these symmetrical sides. To learn about the axis of symmetry, watch this tutorial! Graph C: This cubic is centered on the origin. Then the ruler marks a line of symmetry. Join Yahoo Answers and get 100 points today. This tutorial focuses on how to identify the line of symmetry. Increase i by 1 and decrease j by 1 in each loop cycle. 0 0. On the other hand, a function can be symmetric about a vertical line or about a point. horizontal. View 4-7 vertex form quadratics HW.pdf from MATH 101 at Westlake High School. Graph E: This graph (of a square-root function) shows no symmetry whatsoever, but it is a function. We used this fact when we were graphing parabolas to get an extra point of some of the graphs. The axis of symmetry always passes through the vertex of the parabola . How can we quickly get the other half of the picture? Lv 7. Graphing a polar equation is accomplished in pretty much the same manner as rectangular equations are graphed. To graph the function, tabulate values of between 0 and and then reflect the resulting graph. Look for the y- and x-intercepts. horizontal. Experience. One of horizontal symmetry plane. This graph is symmetric, but not about the origin or the y-axis. Similarly, for Vertical Symmetry, initialize one pointer i = 0 and another pointer j = M – 1. Coordinate Graph . 0 has no real reciprocal. vertical. Each parabola has a line of symmetry. This is called the vertical asymptote of the graph. f is an odd function, so its graph is symmetric about the origin. Free line equation calculator - find the equation of a line given two points, a slope, or intercept step-by-step states that if a vertical line intersects the graph of the relation more than once, then the relation is a NOT a function. The axis of symmetry in a vertical parabola is a vertical line. Print “VERTICAL” if the matrix is vertical symmetric, “HORIZONTAL” if the matrix is vertical symmetric, “BOTH” if the matrix is vertical and horizontal symmetric and “NO” if not symmetric. URL: https://www.purplemath.com/modules/symmetry3.htm, © 2020 Purplemath. Relevance. Mathematically, a line of symmetry is a line of reflectionthat maps any point on the figure back to the figure. Now, compare each element of i-th column and j-th column. The graph has: a vertical axis of symmetry and a horizontal axis of symmetry. \[y = \frac{a}{x + 1} + 3\] Attention reader! A reflection is an example of symmetry. Vertical asymptotes are unique in that a single graph can have multiple vertical asymptotes. Explore more than 10,000 'Vertical Lines Of Symmetry' resources for teachers, parents and pupils as well as related resources on 'Symmetry' The graphs show what the parabolas look like when they to the left or to the right. To the best of our knowledge, no effort has been made to validate measures of graph layout symmetry by comparison with the human perception of symmetry. Every parabola has an axis of symmetry which is the line that divides the graph into two perfect halves.. On this page, we will practice drawing the axis on a graph, learning the formula, stating the equation of the axis of symmetry when we know the parabola's equation Exploit symmetry! If you think about it, the vertical line test is simply a restatement of the definition of a function. Their position in relation to the x– or y-axis is merely an example. The previous section shows that any parabola with the origin as vertex and the y axis as axis of symmetry can be considered as the graph of a function = ≠For > the parabolas are opening to the top, and for < are opening to the bottom (see picture). We now have the following graph for x >0: The y-axis is a vertical asymptote (“VA”) of the graph. Conversely, a graph can only have at most one horizontal, or one oblique asymptote. Also, although the graph of a rational function may have many vertical asymptotes, the graph will have at most one horizontal (or slant) asymptote. Axis of Symmetry of a Parabola The graph of a quadratic function is a parabola. This graph does show a function. Similarly, for Vertical Symmetry, initialize one pointer i = 0 and another pointer j = M – 1. 60 seconds . Tags: Question 4 . In other words, the graph is symmetric about y y y-axis. Download high quality Symmetry clip art from our collection of 41,940,205 clip art graphics. In fact, these sides are just mirror images of each other! From the section above one obtains: The focus is (,),; the focal length, the semi-latus rectum is =,; the vertex is (,), (The function would not be odd if this line didn't go through the origin.). Symmetry is more of a geometrical than an algebraic concept but, as mentioned in the previous two pages, the subject of symmetry does come up in a couple of algebraic contexts. This line is called an axis of symmetry of the graph. Don’t stop learning now. the equation of the axis of symmetry … Three of vertical symmetry planes. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. The equation of the axis of symmetry is x = h, where (h, k) is the vertex of the parabola. therefore. Learn about the parts of a parabola. They can be graphed by point-plotting, using the trigonometric functions period, and using the equation’s symmetry (if any). When it's spun halfway around, do you get the same picture as you had before? They sketch graphs of quadratic functions as a symmetric curve with a highest or lowest point corresponding to its vertex and an axis of symmetry passing through the vertex. 111,842 Symmetry clip art images on GoGraph. Let T L0. Complete the tables, plot the points, and graph the lines. This article is contributed by Anuj Chauhan. Algebra. One of vertical symmetry plane. All right reserved. It has horizontal symmetry about x = 4. It's called the axis of symmetry. The parabola has an axis of symmetry the vertical line x = 1. 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