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 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: $h(x) = -(x+2)^{2} +8$
• This function is in the form: $g(x) = a(x-h)^{2} +k$
• Where the axis of symmetry is given by, x = h.
• 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:

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