Question

The reflection of a function ƒ(x) across the y-axis is represented as

A) 1∕2ƒ(x).
B) ƒ(1∕2x).
C) ƒ(–x).
D) –ƒ(x).

Answer 1

(D)

I believe, because the negatiive sign usually does the reflect a posit x term.

Correct me if I'm wrong tho.

Answer 2

C

Explanation:

Reflections are always represented by multiplying by -1, so that means its not A or B.

D would be a reflection across the x axis, since we are taking the y value and making it negative. (x, f(x)) → (x, -f(x)) .

E.g.

(3, 8) → (3, -8)

C on the other hand, keeps the y value the same, and instead makes the x value negative. (x, f(x)) → (-x, f(x)) .

E.g.

(3, 8) → (-3, 8)

This results in a reflection across the y-axis.

Answer is C