Answer
Please see the graph.
Work Step by Step
The graph was made using graphing software. The vertex is labeled with the coordinates, and the red line is the axis of symmetry.
vertex:
$y=.5x^2+2x+1$
$V = -b/2a = -(2)/2(.5)$
$V = -2/1 = -2$
$y=.5x^2+2x+1$
$y=.5(-2)^2+2(-2)+1$
$y=.5*4+-4+1$
$y=2-3 = -1$
(-2, -1)
$x=-2$ is the axis of symmetry
One other point on the graph:
$y=.5x^2+2x+1$
$y=.5(0)^2+2(0)+1$
$y=.5*0+0+1$
$y=0+0+1=1$
(0,1)
