Answer
$\text{Vertex: } (-2,6)
,\\\text{Axis: } x=-2
$
Work Step by Step
A quadratic function of the form $f(x)=a(x-h)^2+k$ has vertex at $(h,k)$ and axis at $x=h$. Hence, the given function, $f(x)=(x+2)^2-6,$ has the following properties:
\begin{array}{l}\require{cancel}
\text{Vertex: } (-2,6)
,\\\text{Axis: } x=-2
.\end{array}