Answer
Please see the graph.
Work Step by Step
$y=5x^2+8$
vertex:
$x=-b/2a$
$x=-0/2*5$
$x=0$
$y=5x^2+8$
$y=5*0^2+8$
$y=5*0+8$
$y=8$
$(0,8)$
One other point on the line
$x=1$
$y=5(1)^2+8$
$y=5*1+8$
$y=5+8=13$
$(1,13)$
The blue line is the axis of symmetry, and the vertex is labeled.