# How do you find the vertex of #y= x^2-8x+5#?

##### 2 Answers

The simplest method for finding the vertex of the given polynomial is to convert it into "vertex form" to find the vertex at

#### Explanation:

Given

If we can convert this into vertex form:

then the vertex will be at

The easiest way to do this conversion is via a "completion of the square method"

If

then the third term needs to be

So we add (and then subtract

Simplifying:

So the vertex is at

Find vertex of f(x) = x^2 - 8x + 5

Ans: Vertex (4, -11)

#### Explanation:

x-coordinate of vertex:

y-coordinate of vertex: