Answer
Please see the graph.
Axis of symmetry: $x=0$
Vertex: $(0, 0)$
Work Step by Step
$h(x)=-1/3*x^2$
$a=-1/3$, $b=0$, $c=0$
$x=-b/2a$ is the vertex.
$x=-0/2*-1/3$
$x=0$
$h(x)=-1/3*x^2$
$h(0)=-1/3*0^2$
$h(0)=-1/3*0$
$h(0)=0$