# What is the vertex form of y=3x^2-18x+3?

Jun 27, 2016

the vertex is (3, -24)

#### Explanation:

The x-coordinate of the vertex is given by:

$x = - \frac{b}{2 a}$

when $y = a {x}^{2} + b x + c$

Since a=3, b=-18 and c=3, you have

$x = - \frac{- 18}{2 \cdot 3}$

$x = 3$

You can obtain the y-coordinate of the vertex by substituting the value of x in the equation so that

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

$y = 27 - 54 + 3$

$y = - 24$