# Math Help - math help:functions

1. ## math help:functions

y=e^-x^2
determine whether function symmetric to y-axis, orgin, or neither
this is last problem and im kinda stuck

2. Originally Posted by nurseme
y=e^-x^2
determine whether function symmetric to y-axis, orgin, or neither
this is last problem and im kinda stuck
The tests for symmetry needed are as follows:

A function $f(x)$ is symmetric about the y-axis if $f(-x) = f(x)$

that is, replace x with -x in the function, if it simplifies to the original function, then it is symmetric about the y-axis

A function $f(x)$ is symmetric about the origin if $f(-x) = -f(x)$

that is, replace x with -x, if the function simplifies to being the negative of the original, then it is symmetric about the origin