Answer
Please see the graph.
Work Step by Step
Blue line: $x^2+y^2>9$
Orange line: $y>x^2$
$x^2+y^2>9$ is similar to $x^2+y^2=9$, and the latter is the equation for a circle with radius 3. For the inequality, if a point is outside the circle, then it is part of the solution.
$y>x^2$
For this inequality, we pick the point $(1,2)$ to determine what side of the line to shade.
$y>x^2$
$2>1^2$
$2 > 1$ (true, so we shade the side of the line with the point)
The overlap of the two solution sets is the solution set for the system of inequalities.