Answer
$E$.
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 multiplicity 2), y-intercept $f(0)=100$. Function is neither even nor odd. End behavior: rise to the right and rise to the left. Maximum number of turning points $3$.
Step 2. Use the information above and we can identify its graph as $E$.