Question

Which function represents g(x), a reflection of f(x)=1/2(3)x across the y-axis?

a. g(x) = 2(3)x
b. g(x) = -1/2(3)x
c. g(x) = 1/2(3)x
d. g(x) = 2(3)¯x

Answer 1

The function that represents g(x), a reflection of f(x) = 1/2(3)^x across the y-axis, is:

b. g(x) = -1/2(3)^x

The negative sign indicates the reflection across the y-axis.