# What is the vertex of #y=(x-4) (x-2)+x#?

##### 2 Answers

#### Explanation:

First expand the equation to get it into standard form, then convert into vertex form by completing the square.

The vertex is

A related but very slightly different approach

#### Explanation:

An alternative approach. It does in fact incorporate part of the process of constructing the vertex equation.

Multiply out the brackets

Consider the

Apply

By substitution

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given that the standard form is

When applying this approach you must have

So in fact

In your question