# What is the vertex of y= x^2-9x+14 ?

Apr 5, 2018

(4.5,-4.9)

#### Explanation:

$a {x}^{2} + b x + c$ is the general quadratic equation and $- \frac{b}{2 a}$ will give the X coordinate of the line of symmetry/the maximum or minimum point.

Substitute this value into the equation to find the $y$ value

${x}^{2} - 9 x + 14$ $\implies$. $\frac{- - 9}{2}$ =$\frac{9}{2}$ =4.5

${\left(4.5\right)}^{2} - 9 \times 4.5 + 14$

=-4.9