Answer
Option D: The graph moves down the $y$-axis.
Work Step by Step
Assume that the function is in the format $f(x)=(x-h)^{2}+k$
There is no $h$ value in either function, so the only difference between the two functions described in the question is the $k$ values. The $k$ value from the first function is $2$, and the second one is $-3$. The $k$ value of the square function determines if the function is shifted vertically, and if so, whether it goes up or down.
A $k$ value of $-3$ means that the function is shifted 5 units down from the function with a $k$ value of $2$, so the correct answer is Option D: The graph moves down the $y$-axis.
