Answer
Please see the graph.
Work Step by Step
The graph was made using graphing software.
$y=-x^2-2$
Axis of symmetry:
$x = -b/2a = -0/2*-1$
$x = 0$
Vertex:
$y=-x^2-2$
$y=-0^2-2$
$y=-2$
$(0,-2)$
One more point on the function:
$y=-x^2-2$
$y=-(1)^2-2$
$y=-1-2 = -3$
$(1,-3)$