# How do you write  y = –(x + 7)^2 – 8 in standard form?

Jun 3, 2017

$y = - {x}^{2} - 14 x - 58$

#### Explanation:

$\text{expand " (x+7)^2" using FOIL}$

$\Rightarrow y = - \left({x}^{2} + 14 x + 49\right) - 8$

$\textcolor{w h i t e}{\Rightarrow y} = - {x}^{2} - 14 x - 49 - 8$

$\textcolor{w h i t e}{\Rightarrow y} = - {x}^{2} - 14 x - 58 \leftarrow \textcolor{red}{\text{ in standard form}}$