g(x) =
![\sqrt[3]{(x-4)}](https://img.qammunity.org/2019/formulas/mathematics/college/6abfimx062yiaxvutb9nu073sz79fjcst3.png)
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 =
passes through the origin and since
the graph of the translation passes through (4, 0 ), thus
g(x) =
![\sqrt[3]{(x-4)}](https://img.qammunity.org/2019/formulas/mathematics/college/6abfimx062yiaxvutb9nu073sz79fjcst3.png)