Answer
Please see the graph.
Work Step by Step
$G(x)=1/5*(x+4)^2+3 $
Axis of symmetry:
$G(x)=1/5*(x+4)^2+3$
$G(x)=1/5*(x− -4)^2+3$
$x=-4$
Vertex:
$G(x)=1/5*(x+4)^2+3$
$G(-4)=1/5*(-4+4)^2+3$
$G(-4)=1/5*(0)^2+3$
$G(-4)=0+3$
$G(-4)=3$
The red line is the function $G(x)=1/5*(x+4)^2+3$, the line at $x=-4$ is the axis of symmetry, and the point $(-4,3)$ is the vertex.