# What is the axis of symmetry for the graph y=x^2-6x+2?

Apr 10, 2018

$x = 3$

#### Explanation:

The equation is written in the form $a {x}^{2} + b x + c$. As you can see, a=1, b=-6 and c=2. The axis of symmetry is worked out by $x = \frac{- b}{2 a}$.

(-(-6))/(2(1) = $\frac{6}{2} = 3$

Substituted this value of x back into the equation to find the y coordinate.

$y = {\left(3\right)}^{2} - 6 \left(3\right) + 2$
$y = 9 - 18 + 2$
$y = - 7$

So the vertex of the line is at (3,-7)