Answer
please see image
.
Work Step by Step
1. The inequality sign is $\geq $, so we draw a solid border
2. The border, $y=x^{2}-9$
is a parabola , obtained from $y=x^{2}$ by shifting down $9$ units,
vertex: $(0,-9),$ opens up,
x-intercepts:
$0=x^{2}-9$
$0=(x+3)(x-3)$
x-intercepts:$ \pm 3$
Additional points : $(\pm 2,-5)$
3. Test the point $(0,0)$
$0 \geq 0^{2}-9\quad ?$
$0 \geq -9\quad ?$
Yes
4. Shade the region that the origin belongs to.
