Answer
B
Work Step by Step
According to the rule of vertical 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 downwards.
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 downwards.
This means that the equation $y=\sqrt[3] {x}-4$ is matched with option B in Column II.