Answer
Please see the graph.
Work Step by Step
$y=-.5x^2+2x+1$
vertex:
$x= -b/2a$
$x = -2/2(-.5)$
$x = -2/-1 =2$
$y=-.5x^2+2x+1$
$y=-.5(2)^2+2*(2)+1$
$y= -.5*4+4+1$
$y=-2+4+1$
$y=3$
One other point on the graph:
$x=0$
$y=-.5x^2+2x+1$
$y=-.5(0)^2+2*(0)+1$
$y=-.5*0+0+1$
$y=0+1 =1$
The blue line is the axis of symmetry.
