Answer
The vertex is labeled with its coordinates, and the green line is the axis of symmetry.
Work Step by Step
$H(x)=2x^2$
$a=2$, $b=0$, $c=0$
The axis of symmetry is at $x=-b/2a$
$x=-b/2a$
$x=-0/2*2$
$x=-0/4$
$x=0$
The vertex is at $x=0$
$H(x)=2x^2$
$H(0)=2*0^2$
$H(0)=2*0$
$H(0)=0$
$(0, 0)$ is the vertex.