Answer
$y=-2(x+4)(x-5)$
Work Step by Step
The product form of the parabola is $y=a(x+4)(x-5)$. Since $(2,36)$ is on the curve, $16=a(-1)(-4)\implies a=4$.
$$
\begin{aligned}
a(2+4)(2-5) & =36\\
-18 a & =36 \\
a & =-\frac{36}{18}= -2
\end{aligned}
$$
Hence $y=-2(x+4)(x-5)$.
