Answer
See graph
Work Step by Step
Given \begin{equation}
y \geq 1.5 x^2+6 x+10.
\end{equation} First, we will sketch the graph using a solid line because it is a "grater 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 above the curve.
