# What is the axis of symmetry of the graph of y = x^2-3x+9?

Jul 11, 2018

$x = \frac{3}{2}$ or $1.5$

#### Explanation:

To find the axis of symmetry of a standard quadratic equation $\left(y = a {x}^{2} + b x + c\right)$, we use the formula $x = \frac{- b}{2 a}$.

We know that $a = 1$ and $b = - 3$, so let's plug them into the formula:
$x = \frac{- \left(- 3\right)}{2 \left(1\right)} = \frac{3}{2}$

Since the axis of symmetry is a line, it is $x = \frac{3}{2}$ or $1.5$.

Hope this helps!