# How do you write the function in standard form y=8(x+7)^2-20?

Jan 28, 2018

$8 {x}^{2} + 112 x + 372$

#### Explanation:

We want our final form to be $a {x}^{2} + b x + c$

Let's expand this:

$8 \left(x + 7\right) \left(x + 7\right) - 20$

$8 \left({x}^{2} + 14 x + 49\right) - 20$

distribute the $8$

$8 {x}^{2} + 112 x + 392 - 20$

$8 {x}^{2} + 112 x + 372$