See attachment for the axis of symmetry and maximum point.
What is a function?
- A function from a set X to a set Y allocates exactly one element of Y to each element of X.
- The set X is known as the function's domain, while the set Y is known as the function's codomain.
- Originally, functions were the idealization of how a variable quantity depends on another quantity.
To plot the axis of symmetry:
- 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, x = h.
- y comparison, we have -h=2.
- This implies h=-2
- Therefore the axis of symmetry is x = -2.
Therefore, the maximum value occurs at the vertex, given by (h,k)=(-2,8).
So, see attachment for the axis of symmetry and maximum point.
Know more about functions here:
https://brainly.com/question/25638609
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