Answer
Please see the graph.
Work Step by Step
$f(x)=(x+5)^2$
Axis of symmetry:
$f(x)=(x+5)^2$
$f(x)=(x- -5)^2$
$x=-5$ is the axis of symmetry
Vertex:
$f(x)=(x+5)^2$
$x=-5$
$f(-5)=(x+5)^2$
$f(-5)=(-5+5)^2$
$f(-5)=0^2$
$f(-5)=0$
The vertex is the orange dot, the axis of symmetry is the black vertical line, and the green line is the function.