Answer
$C$.
Work Step by Step
Step 1. Given $f(x)=(x-2)^2(x-5)$, we can find its zeros as $x=5$ and $x=2$ (multiplicity 2), y-intercept $f(0)=-20$. Function is neither even nor odd. End behavior: rise to the right and fall to the left. Maximum number of turning points $3$.
Step 2. Use the information above and we can identify its graph as $C$.