# What is the vertex of #y= 2x^2 - 4x + 3#?

##### 1 Answer

#### Explanation:

Given:

Let the coordinates of the vertex be

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There are two ways of doing this.

It looks as though the fashionable way at the moment is 'completing the square' alternatively known as a 'vertex equation'.

The other, which I am going to show you, is the basis upon which completing the square is built on.

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Write the given equation in the form of:

I have made it such that I have a part that starts with

We now look at the part inside the brackets of

We then do this:

We have now found

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Substitute (2) into (1) giving:

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