Answer:
Option D. is the correct option
Explanation:
The graph of g(x) is the translation of y = ∛x, which passes through origin (0, 0).
The graph in the figure is showing a shift of 1.5 units downwards.
Therefore, the new translated function g(x) will be represented by
g(x) = ∛x - 1.5
This graph can create a confusion of being shifted on x-axis but when we plug in the values of x in the options A and B, parent graph gets changed.
Therefore, option D. is the answer.