Answer
See graph
Work Step by Step
Given\begin{equation}
y \leq-3(x-4)^2+7.
\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 the solution is the part of the plane which does not include $(0,0)$, therefore we should shade below the curve.
