# What is the vertex form of y= (x+1)(x-12)?

Jun 3, 2018

$y = {\left(x - \frac{11}{2}\right)}^{2} - \frac{85}{2}$

#### Explanation:

$y = \left(x + 1\right) \left(x - 12\right)$

Expand,

$y = {x}^{2} - 11 x - 12$

Make a perfect square,

$y = {x}^{2} - 11 x + {\left(- \frac{11}{2}\right)}^{2} - {\left(- \frac{11}{2}\right)}^{2} - 12$

Simplify,

$y = {\left(x - \frac{11}{2}\right)}^{2} - \frac{85}{2}$, where the vertex is $\left(\frac{11}{2} , - \frac{85}{2}\right)$

:D