# What is the vertex of  y=x^2-2x+6?

Feb 20, 2016

( 1 , 5 )

#### Explanation:

The standard form of a quadratic function is $y = a {x}^{2} + b x + c$

the function here $y = {x}^{2} - 2 x + 6 \text{ is in this form }$

and by comparison obtain : a = 1 , b = - 2 and c = 6

x-coord of vertex $= \frac{- b}{2 a} = \frac{- \left(- 2\right)}{2} = 1$

and y-coord $= {\left(1\right)}^{2} - 2 \left(1\right) + 6 = 1 - 2 + 6 = 5$

$\Rightarrow \text{ vertex } = \left(1 , 5\right)$