Answer
Please see the graph.
Work Step by Step
The red graph is $ x^{2}+y^{2}>9$, and the blue graph is $ y>x^{2}$.
Since both graphs have greater than signs, we use dotted lines for both graphs. We also pick the point $(0,2)$ to determine what sides of the graphs to shade.
$(0,2)$
$ x^{2}+y^{2}>9$
$0^{2}+2^{2}>9$
$0+4 >9$
$4 > 9$ (false, so we shade the side of the graph without the point)
$(0,2)$
$y>x^2$
$2 >0^2$
$2 > 0$ (true, so we shade the side of the graph with the point)
The overlap of the two graphs is the solution set.
