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 left.
Therefore, according to this rule, the graph of $y=(x+7)^{2}$ can be made by shifting the graph of $y=x^{2}$ a total of $7$ units to the left.
This means that the equation $y=(x+7)^{2}$ is matched with option A in Column II.