# What is the vertex form of y=x^2 -5x-3?

Nov 15, 2015

Complete the square to find the vertex form.

#### Explanation:

$y + 3 = {x}^{2} - 5 x$

$y + 3 + \frac{25}{4} = {x}^{2} - 5 x + \frac{25}{4}$

$y + \frac{37}{4} = {\left(x - \frac{5}{2}\right)}^{2}$

$y = {\left(x - \frac{5}{2}\right)}^{2} - \frac{37}{4}$

The last equation is vertex form

vertex $= \left(\frac{5}{2} , - \frac{37}{4}\right)$

hope that helped