How do you write standard form of equation of the parabola given y = -2(x+4)(x+1)?

Dec 15, 2016

$y = \textcolor{red}{- 2} {x}^{2} \textcolor{b l u e}{- 10} x \textcolor{g r e e n}{- 8}$

Explanation:

The standard form of a second-degree function (parabola) is $y = \textcolor{red}{a} {x}^{2} + \textcolor{b l u e}{b} x + \textcolor{g r e e n}{c}$

$y = - 2 \left(x + 4\right) \left(x + 1\right)$

Distribute the $- 2$ into $\left(x + 4\right)$ and then multiply the product by $\left(x + 1\right)$

$\textcolor{w h i t e}{y} = \left(- 2 x - 8\right) \left(x + 1\right)$

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

$y = \textcolor{red}{- 2} {x}^{2} \textcolor{b l u e}{- 10} x \textcolor{g r e e n}{- 8}$