# How do you write the equation in vertex form x=y^2+14y+20?

Feb 5, 2017

$x = {\left(y + 7\right)}^{2} - 29$

#### Explanation:

Vertex form of equation is $x = a {\left(y - k\right)}^{2} + h$

as $x = {y}^{2} + 14 y + 20$

= (y^2+2xx7xxy+7^2-7^2+20

= ${\left(y + 7\right)}^{2} - 49 + 20$

i.e. $x = {\left(y + 7\right)}^{2} - 29$

This is the equation in vertex form with vertex at $\left(- 29 , - 7\right)$
graph{y^2+14y+20-x=0 [-35.33, 4.67, -16.64, 3.36]}