# How do you write the quadratic function in standard form y=-(x+2)^2-7?

Jun 10, 2017

$y = - {x}^{2} - 4 x - 11$

#### Explanation:

$\text{the standard form of a quadratic function is }$

color(red)(bar(ul(|color(white)(2/2)color(black)(y=ax^2+bx+c;a!=0)color(white)(2/2)|)))

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

$y = - \left({x}^{2} + 4 x + 4\right) - 7$

$\textcolor{w h i t e}{y} = - {x}^{2} - 4 x - 4 - 7$

$\textcolor{w h i t e}{y} = - {x}^{2} - 4 x - 11 \leftarrow \textcolor{red}{\text{ in standard form}}$