# What is y=x^2 + 10x + 23 in vertex form?

Nov 15, 2016

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

#### Explanation:

Add ${h}^{2} - {h}^{2}$ to the equation:

$y = {x}^{2} + 10 x + {h}^{2} - {h}^{2} + 23$

$h = - \frac{b}{2 a} = - \frac{10}{2} = - 5$

$y = {\left(x - - 5\right)}^{2} - 25 + 23$

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