Question

Given h(f)=-2(f+5)^2+4 find h(-8)

Answer 1

h(-8)= -14

Explanation:

`h(-8)=-2(-8+5)^2+4 \\h(-8)=-18+4=-14`

Answer 2

`\huge\boxed{-14}`

We have the following equation:

`h(f)=-2(f+5)^2+4`

Substitute in
`-8` for
`f` and simplify.

`\begin{aligned}h(-8)&=-2(-8+5)^2+4&\textsf{Substitute.}\\&=-2(-3)^2+4&\textsf{Add.}\\&=-2\cdot9+4&\textsf{Simplify the power.}\\&=-18+4&\textsf{Multiply.}\\&=\boxed{-14}&\textsf{Add.}\end{aligned}`