Answer
See graph
Work Step by Step
Given\begin{equation}
y \leq-2(x+3)^2+10.
\end{equation} First, we will sketch the graph using a solid line because it is a "less than or equal to" inequality.
If we pick $( 0, 0)$ for our test point, we find that it does not satisfy the inequality, so we should shade the part of the plain which does not include $(0,0)$, therefore below the curve.