Answer
See graph
Work Step by Step
Given \begin{equation}
y \leq 2.5(x-4)^2-18.
\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 satisfy the inequality, so we should shade below the curve.
