Answer
See the graph
![](https://gradesaver.s3.amazonaws.com/uploads/solution/747abfc8-cd09-44d4-a358-22f2a260fa04/result_image/1596448762.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T021058Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=ce1956bd30276d6d47eadd9efc0f0144c262f14b27874b47067bc743890e58aa)
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.