Answer
A
Work Step by Step
According to the rule of horizontal translations on Page 443 of the text, the graph of $y=f(x-c)$ is made by shifting the graph of $y=f(x)$ by $c$ units to the right.
Therefore, the graph of $y=\sqrt[3] {x-4}$ can be made by shifting the graph of $y=\sqrt[3] {x}$ a total of $4$ units to the right.
This means that the equation $y=\sqrt[3] {x-4}$ is matched with option A in Column II.