Answer:
See attachment
Step-by-step explanation:
The given function is [tex]h(x)=-(x+2)^2+8[/tex]
This function is in the form:
[tex]g(x)=a(x-h)^2+k[/tex]
Where the axis of symmetry is given by [tex]x=h[/tex]
By comparison, we have -h=2.
This implies h=-2
Therefore the axis of symmetry is [tex]x=-2[/tex]
The maximum value occurs at the vertex, given by (h,k)=(-2,8)
See attachment for the axis of symmetry and maximum point.
