Answer
Please see the grtaph
Work Step by Step
$y=-2x^2-3x+10$
vertex:
$x=-b/2a$
$x=-(-3)/2*(-2)$
$x=3/-4 = -3/4$
$y=-2x^2-3x+10$
$y=-2*.75^2-3*.75+10$
$y=-2*.5625-2.25+10$
$y=-1.125+7.75$
$y=6.625$
$(-.75, 6.625)$
One other point on the curve
$x=0$
$y=-2x^2-3x+10$
$y=-2*0^2-3*0+10$
$y=-2*0-0+10$
$y=0+10 = 10$
$(0,10)$
The vertex is labeled, and the axis of symmetry is the blue line.