00:01
All right, so putting the equation in the form x minus h squared, x minus h, y squared plus k, we typically have an a value out in front.
00:12
This is what's called vertex form.
00:15
If it's in this form, then the vertex of the parabola is going to be at the point h comma k.
00:20
We start with x, so we know that the a value here is going to be 1, so we don't need the a value, because our initial equation is going to be x squared minus 4x plus 3.
00:32
So the a value is 1, and the a value is not going to change, so the a value is still going to stay as 1.
00:37
So how we can put it in this form, we can basically think of this equal to 0, and i have to get my constant on the other side.
00:45
So i'm going to move the 3 over, so we're going to have x squared minus 4x would then be equal to negative 3.
00:52
Now we can go ahead and complete the square to put it in this form.
00:57
To do so, we have to make sure that the a value first has to be 1.
01:00
Well, it is 1, so then we can go ahead and just complete the square.
01:04
So we can write this again as x squared minus 4x...