Respuesta :

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[tex]h(t)=-2(t+5)^2+4[/tex]
[tex]h(-8)=-2(-8+5)^2+4=-2(-3)^2+4=-2\cdot 9+4=-18+4=-14[/tex]
Answer B. -14

If the function is h(t)=-2[tex](t+5)^{2}[/tex]+4 then h(-8) is equal to -14.

What is function?

A function is relationship between two or more variables expressed in equal to form. In the function each value of x should have corresponding value of y. The value of x is domain of the function and the value of function is called codomain or range of function.

How to find value of function?

We have been given the function h(t)=-2[tex](t+5)^{2}[/tex]+4 and we have to find the value of function at t=-8.So to find the value we have to just put t=-8 in the given function.

h(t)=-2[tex](t+5^{2} +4[/tex]

h(-8)=-2[tex](-8+5)^{2}[/tex]+4

=-2*[tex]-3^{2}[/tex]+4

=-2*9+4

=-18+4

=-14

Hence if function is h(t)=[tex]-2(t+5)^{2} +4[/tex] then the value of h(-8)=-14.

Learn more about function at https://brainly.com/question/10439235

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