# What is the axis of symmetry and vertex for the graph y = x^2 – 4x + 2?

Aug 25, 2016

Vertex $\left(2 , - 2\right)$

axis of symmetry $x = 2$

#### Explanation:

Given -

$y = {x}^{2} - 4 x + 2$

Vertex

$x = \frac{- b}{2 a} = \frac{- \left(- 4\right)}{2 \times 1} = \frac{4}{2} = 2$

At x=2; y=2^2-4(2)+2

$y = 4 - 8 + 2 = - 2$

Vertex $\left(2 , - 2\right)$

axis of symmetry $x = 2$