Question

Which functions have graphs that are symmetrical with respect to the y-axis?

Answer 1

Even powered functions that do not move left or right

(
`x^(2)`,
`x^(4)`,
`x^(6)`... )

Explanation:

`x^(2)`,
`x^(4)`,
`x^(6)`... would all be symmetrical to the y-axis.

A horizontal shift in the graph like
`(x-2)^(2)` would not be symmetrical to the y-axis.