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Symmetry can be useful in graphing an equation since it says that if we know one portion of the graph then we will also know the remaining and symmetric portion of the graph as well.
Symmetry math graph. Since there exist vertical lines such as the line x 2 which will cross this graph twice what it shows is not a function. X2 7y x3 2 x 2 7 y x 3 2 solution. We will demonstrate several functions to test for symmetry graphically using the graphing calculator. If a graph can be reflected over a line without altering the graph then that line is called the axis of symmetry.
Y 4x2 x6 x8 y 4 x 2 x 6 x 8 solution. That is it is symmetric about the lines x 0 the y axis and y 0 the x axis. This graph is symmetric about the axes. Hence f x y f x y.
It is also symmetric about the origin. Symmetry with respect to origin we say that a graph is symmetric with respect to the origin if for every point a b on the graph there is also a point a b on the graph. Determine the symmetry of each of the following equations. In the following graph x 2 is the axis of symmetry.
X 4y6 y2 x 4 y 6 y 2 solution. Many graphs have symmetry to them.
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