Question

On a coordinate plane, 2 exponential fuctions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 6) and goes through (1, 2). Function g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 2) and crosses the y-axis at (0, 6).
Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?

g(x) = −6(one-third) Superscript x
g(x) = −6(one-third) Superscript negative x
g(x) = 6(3)x
g(x) = 6(3)−x

Answer 1

Reflection across the y-axis: g(x) = f(−x) = 6(1/3)^{−x} = 6·3^{x}.

So the correct choice is g(x) = 6(3)^x.