# How do you graph the quadratic function and identify the vertex and axis of symmetry for y=2x^2-12x+19?

##### 1 Answer
May 27, 2018

$y = 2 {\left(x - 3\right)}^{2} + 1$

#### Explanation:

$y = 2 \left({x}^{2} - 6 x + \frac{19}{2}\right)$
Completing the square
$y = 2 {\left(x - 3\right)}^{2} + 2 \left(\frac{19}{2} - \frac{18}{2}\right)$
so we have
$y = 2 {\left(x - 3\right)}^{2} + 1$