00:01
Okay, given the function, g of x equals x squared minus 4x plus 5.
00:17
Let's get this into vertex form.
00:20
So i'm going to think of this as an equation.
00:24
I'm going to replace g of x with 0.
00:28
I'm going to subtract the 5.
00:30
So negative 5 equals x squared minus 4x.
00:39
And i am going to leave a spot to complete the square.
00:46
So if we're going to complete the square here, we know we want a binomial squared, a perfect binomial squared, would be x, and then we take half of the negative 4, half of the coefficient on the x, which is negative 2, and we'll square that, negative 2 squared is positive 4.
01:09
We'll need to stay balanced in this equation, so we need to add 4 to the left...