# How do you find the vertex of # y = x^2 – 6x + 5 #?

##### 1 Answer

Apr 2, 2016

Complete the square

#### Explanation:

After completing the square,

#y = x^2 - 6x + 5#

#= (x - 3)^2 - 4#

Here is a graph of

graph{x^2 - 6x + 5 [-2, 8, -5, 5]}

We can see (either graphically or algebraically) that the lowest point, or *minimum*, occurs when

The coordinate of the vertex is