Answer
Please see the graph.
Work Step by Step
$y=.5x^2$
vertex:
$x=-b/2a$
$x = 0/2*.5$
$x = 0$
$y=.5*x^2$
$y=.5*0^2$
$y = .5*0$
$y=0$
One other point on the graph
$x=2$
$y=.5*2^2$
$y=.5*4$
$y=2$
The blue line is the axis of symmetry.