Question

On a coordinate plane, 2 exponential functions are shown. Function f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. Function g (x) approaches y = 0 in quadrant 1 and increases into quadrant 2.
Which function represents a reflection of f(x) = Three-eighths(4)x across the y-axis?

g(x) = NegativeThree-eighths (one-fourth) Superscript x
g(x) = Negative three-eighths(4)x
g(x) = Eight-thirds(4)-x
g(x) = Three-eighths(4)–x

Answer 1

Reflecting across the y-axis replaces x with −x. So

g(x) = f(−x) = (3/8)·4^(−x) = (3/8)·(1/4)^x.

This matches the fourth choice: g(x) = Three-eighths(4)^(−x).