Answer
See the graph
Work Step by Step
We are given: $y=\frac{1}{2}x^2+2$
Make a list of values:
$x=-2 \rightarrow y=4$
$x=-1 \rightarrow y=\frac{5}{2}$
$x=0 \rightarrow y=2-7$
$x=1 \rightarrow y=\frac{5}{2}$
$x=2 \rightarrow y=4$
then graph the function.