Answer
Please see the graph.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/6964b712-dcae-4616-ba4f-4f33aaa78514/result_image/1534826909.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001757Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=d4f77d30b8b7def4f50683dd90f15beaac3d4f602cb8ae69b28b091b0c850fe6)
Work Step by Step
$y=.5x^2+2x-3$
vertex:
$x=-b/2a$
$x=-(2)/2(.5)$
$x=-2/1 = -2$
$y=.5x^2+2x-3$
$y=.5*(-2)^2+2*(-2)-3$
$y=.5*4+(-4)-3$
$y=2-4-3$
$y=-5$
$(-2, -5)$
One other point on the curve:
$x=0$
$y=.5x^2+2x-3$
$y=.5(0)^2+2*0-3$
$y=.5*0+0-3$
$y=0-3 = -3$
$(0,-3)$
The blue line is the axis of symmetry, and the vertex is labeled.