# What is the vertex form of y= x^2 - 11x + 30?

May 15, 2017

The vertex form is $y = {\left(x - \frac{11}{2}\right)}^{2} - \frac{1}{4}$

#### Explanation:

$y = {x}^{2} - 11 x + 30 \mathmr{and} y = \left({x}^{2} - 11 x + {\left(\frac{11}{2}\right)}^{2}\right) - \frac{121}{4} + 30$ or

$y = {\left(x - \frac{11}{2}\right)}^{2} - \frac{1}{4}$. Vertex is at $\frac{11}{2} , - \frac{1}{4}$

The vertex form is $y = {\left(x - \frac{11}{2}\right)}^{2} - \frac{1}{4}$ [Ans]