Answer: A. g(x) = 4∛x
Explanation:
First, g(x) passes through the origin (0,0)
g(0) = 0
A,g(x) = ∛x+4, g(0) = 4 ≠ 0
B,g(x) = ∛x+4, g(0) = ∛4≠0
So exclude A and B
Second, as can be seen in the figure,
The g(x) image is the magnification of the f(x) image on the y value.
f(x) = ∛x
So, Select A. g(x) = 4∛x quadruple the y value.