# What is the axis of symmetry and vertex for the graph #y = 9x^2 - 27x + 20#?

##### 1 Answer

The axis of symmetry is

The vertex is

#### Explanation:

Given:

where:

The formula for the axis of symmetry is:

Reduce by dividing the numerator and denominator by

**The axis of symmetry is #x=3/2#.** This is also the x-coordinate of the vertex.

To find the y-coordinate of the vertex, substitute

The least common denominator is

**The vertex is #(3/2,-1/4)#.**

graph{y=9x^2-27x+20 [-10, 10, -5, 5]}