# How do I find the vertex of #f(x)=x^2-4x+3#?

##### 2 Answers

We must take our equation and put it in vertex form,

This equation will not factor into two squares

First we'll get rid of the

Next we take half of the -4 the square it and add it to our equation to give us

Now we can factor the left into two perfect squares,

Finally, we subtract

The easiest way to determine the vertex of this parabola is using a formula.

for

From the function,

a = 1 b = -4 c = 3

to get k, substitute the value of h for x into the function

therefore,