# How do you determine whether the graph of y=1/x^2 is symmetric with respect to the x axis, y axis, the line y=x or y=-x, or none of these?

May 23, 2018

$y$ is symmetric about the $y -$axis

#### Explanation:

$y = \frac{1}{x} ^ 2$

The graph below shows $y$ with respect to the primary axes and $y = \pm x$

graph{(y-(1/x^2))(y-x)(y+x)=0 [-14.24, 14.23, -7.12, 7.11]}

From which we can see that $y$ has "mirror" symmetry about the $y -$axis.