What is the vertex of #y= 2x^2 - 4x + 3#?
Let the coordinates of the vertex be
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.
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
Substitute (2) into (1) giving: