# How do you write the equation y= 4(x + 1) (x +2) in standard form?

Sep 27, 2017

$y = 4 {x}^{2} + 12 x + 8$

#### Explanation:

$\text{the equation of a parabola in "color(blue)"standard form }$ is.

•color(white)(x)y=ax^2+bx+c color(white)(x);a!=0

$\text{distribute the factors using FOIL}$

$y = 4 \left({x}^{2} + 3 x + 2\right)$

$\Rightarrow y = 4 {x}^{2} + 12 x + 8 \leftarrow \textcolor{red}{\text{ in standard form}}$