00:01
We now determine the quadratic function whose vertex and one of the point is given.
00:05
So first let me write the quadratic function in vertex form.
00:10
And this equals that is if of x equals a times of x minus h quantity square plus k.
00:18
Where h comma k is the vertex of the quadratic function.
00:23
This is the vertex and a is a constant that needs to be found.
00:29
We have to find this constant a.
00:31
So we will use this quadratic function.
00:34
So the vertex is given as a 4 comma negative 4.
00:38
And this means h equal to 4 and k equal to negative 4.
00:42
So first let me plug in h comma k, which equals 4 comma negative 4.
00:49
So i'm going to replace h by 4 and k by negative 4 into this quadratic function.
00:55
So we get f of x and this equals a...