Answer
see graph
Work Step by Step
The graph of the equation $
g(x)=\dfrac{1}{2}(x+2)^2+5
$ is a parabola with the following properties
\begin{array}{l}
\text{Vertex: }(-2,5)
,\\\text{Opening: }\text{up}
,\\\text{Axis: }x=-2
.\end{array}
Using the properties above, the graph of the given equation is shown below.
