Which equation represents g(x)?

Option D. is the correct option

Step-by-step 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.

Step-by-step explanation:

Let

x-------> quantity contained in the new bottle

we know that

so