Respuesta :

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

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

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 = [tex]\sqrt[3]{x}[/tex] passes through the origin and since

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

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