00:01
Let's write the standard form of the equation of a pravola that has the given vertex and passes through this given point.
00:11
So let's recall what the standard form is, sometimes also called the vertex form.
00:20
And the nice thing about writing it in this form is that the vertex is given by h comma k.
00:31
So in our case, the h and k are given, we can see over here, h is negative 1 4th, k is 3 .4th.
00:40
Three halves and we'll come back and deal with this in a few moments.
00:45
So let's just rewrite our f using the given information so far.
00:50
So we'll have x minus h and then plus k and let's just go ahead and clean that up a little bit.
01:10
So once we find a we're finished with the problem and so now it's time to go ahead and use this piece of information over here.
01:19
If your graph passes through this point negative 2 0, that means that when you plug in negative 2 and for x, you get y equals 0.
01:30
However, we could also plug in negative 2 into our formula over here, and we could see what the value is.
01:40
Well, we know that the value is zero, and then we could solve for a...