# Given h( t ) = - 2( t+ 5) ^ { 2} + 4, what is the value of h(-8)?

Apr 12, 2018

$h \left(- 8\right) = - 14$

#### Explanation:

$\text{to evaluate "h(-8)" substitute t = - 8 into } h \left(t\right)$

$\Rightarrow h \left(\textcolor{red}{- 8}\right) = - 2 {\left(\textcolor{red}{- 8} + 5\right)}^{2} + 4$

$\textcolor{w h i t e}{\times \times \times x} = - 2 {\left(- 3\right)}^{2} + 4$

$\textcolor{w h i t e}{\times \times \times x} = - 2 \times 9 + 4 = - 18 + 4 = - 14$