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

Sagot :

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:

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