Answer
See graph
Work Step by Step
Given \begin{equation}
y<2 x^2+24 x-10.
\end{equation} First, we will sketch the graph of the quadratic using a dashed curve because there is no "equal to" part.
Next, pick $(0,0)$ as a test point, we find that it does not satisfy the inequality, so we will shade the points below the parabola.