Question

Test the function x-y²=0 for symmetries.

Answer 1

For Symmetry About Y-Axis, let's try to replace x with −x, and check if the equations still equal:

-x - y² = 0

The equation changed, so there is no symmetry about Y-Axis.

For Symmetry About X-Axis, let's try to replace y with −y, and check if the equations still equal:

x - (-y)² = 0

x - y² = 0

The equation stayed the same, so there is a symmetry in X-Axis.

Lets try Origin Symmetry Replacing x with −x and y with −y:

-x - (-y)² = 0

-x - y² = 0

The equation changed, so there is no Origin Symmetry.