Answer
Please see the graph.
Work Step by Step
$y=x^2-4$
vertex:
$x=-b/2a$
$x=-0/2*1$
$x=0$
$y=x^2-4$
$y=0^2-4$
$y=0-4 = -4$
$(0,-4)$
One other point on the line:
$x=2$
$y=x^2-4$
$y=2^2-4$
$y=4-4 = 0$
$(2,0)$
The axis of symmetry is the blue line, and the vertex is labeled.