# How do you write  y=x^2+2x-35 in vertex form?

Jun 21, 2017

see below

#### Explanation:

$y = {x}^{2} + 2 x - 35$

use completing a square,

$y = {\left(x + 1\right)}^{2} - {\left(1\right)}^{2} - 35$

$y = {\left(x + 1\right)}^{2} - 36$

since ${\left(x + 1\right)}^{2}$ has a +ve value, it is a minimum vertex $- 35$ at $\left(- 1 , - 35\right)$