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

A) reflection across the y-axis

Step-by-step explanation:

If , then this says that two -coordinates are equal for opposite values of .

Let a point on .

Then .

We also know that and therefore is also a point on the graph.

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

Example if given both and , then . 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).

step-by-step explanation:

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