Answer
Please see the graph.
Work Step by Step
The graph was made using graphing software.
$y=2x^2+7$
vertex:
$x=-b/2a$
$x=-1*0/2*2$
$x=0/4 = 0$
$y=2x^2+7$
$y=2*0^2+7$
$y=2*0+7$
$y=7$
$(0,7)$
One more point on the line:
$x=1$
$y=2*1^2+7$
$y=2*1+7$
$y=2+7 = 9$
$(1,9)$