Question

What transformation is made from f(x) → f(-x)?

A) reflection across the y-axis

B) rotation around the origin

C) reflection across the x-axis

D) sliding it down

Answer 1

the answer is reflection across the y-axis

Explanation:

That's the correct answer (-.-)

Answer 2

A) reflection across the y-axis

Explanation:

If
`f(x)=f(-x)`, then this says that two
`y`-coordinates are equal for opposite values of
`x`.

Let
`(a,b)` a point on
`f`.

Then
`f(a)=b`.

We also know that
`f(-a)=b` and therefore
`(-a,b)` is also a point on the graph.

If you graph [/tex](-a,b)[/tex] and
`(a,b)` you will see they are symmetrical to each about the
`y`-axis.

Example if given both
`f(x)=f(-x)` and
`f(2)=3`, then
`f(-2)=3`. This means both (2,3) and (-2,3) are points on the graph.

Here is what those two points look like on a Cartesian Plane (please see graph in picture).