Answer
See the graph
Work Step by Step
We are given: $y=\frac{1}{2}x^2+2$
Make a table of values.
$x=-1 \rightarrow y=\frac{5}{2}$
$x=0 \rightarrow y=2$
$x=1 \rightarrow y=\frac{5}{2}$
The vertex is $(0,2)$. It is a minimum.
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