Question

Plot the axis of symmetry and the point where the maximum value occurs for this function: h(x) = -(x + 2)2 + 8.

Answer 1

See attachment

Explanation:

The given function is
`h(x)=-(x+2)^2+8`

This function is in the form:

`g(x)=a(x-h)^2+k`

Where the axis of symmetry is given by
`x=h`

By comparison, we have -h=2.

This implies h=-2

Therefore the axis of symmetry is
`x=-2`

The maximum value occurs at the vertex, given by (h,k)=(-2,8)

See attachment for the axis of symmetry and maximum point.