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, $y=7x^{2}$ is a vertical stretching of the graph $y=x^{2}$ by a factor of $7$.
This means that the equation $y=7x^{2}$ must be matched with option E in Column II.