Answer
$F$.
Work Step by Step
Step 1. Given $f(x)=-(x-2)^2(x-5)^2$, we can find its zeros as $x=2,5$ (both with multiplicity 2), y-intercept $f(0)=-100$. Function is neither even nor odd. End behavior: fall 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 $F$.