Answer
Shif the graph of the parent function $y=x^2$ by $3$ units to the right, then shift the resulting graph $2$ units downward.
Refer tp the graph below.
Work Step by Step
We are given the function:
$f(x)=(x-3)^2-2$
First we graph the parent function $a(x)=x^2$.
Horizontally shift the graph of $a(x)$ by $3$ units to the right to get the graph of $b(x)=(x-3)^2$.
Finally, vertically shift the graph of $b(x)$ by $2$ units downward to get the graph of $f(x)=(x-3)^2-2$.
Refer to the red graph below.
