Answer
E
Work Step by Step
It is known that if $a\gt1$, the graph $y=af(x)$ is a vertical stretching of the graph $y=f(x)$ by a factor of $a$.
According to this rule, $y=4\sqrt[3] x$ is a vertical stretching of the graph $y=\sqrt[3] x$ by a factor of $4$.
This means that the equation $y=4\sqrt[3] x$ must be matched with option E in Column II.