Answer
See graph
Work Step by Step
Given \begin{equation}
y \geq-0.5 x^2-4 x-6.
\end{equation} First, we will sketch the graph using a solid line because it is a "greater 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 above the curve.
