Question

Can Anyone help me out?

Answer 1

The answer is A.
It is a translation 4 units to the right, and such is A.

Answer 2

g(x) = $\sqrt[3]{(x-4)}$

given g(x) = f(x) then f(x - 4 ) represents a translation of 4 units to the right

while f(x + 4) represents a translation of 4 units to the left

the graph of y = $\sqrt[3]{x}$ passes through the origin and since

the graph of the translation passes through (4, 0 ), thus

g(x) = $\sqrt[3]{(x-4)}$