Answer
D
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 downwards.
Therefore, $y=x^{2}-7$ can be made by shifting the graph of $y=x^{2}$ $7$ units downwards.
This means that the equation $y=x^{2}-7$ is matched with option D in Column II.