00:01
Let's write the standard form for the equation of a parabola.
00:07
So recall that the standard form is given by the following, where the vertex is given by hk.
00:25
In our problem, they're telling us that the vertex is 1 comma minus 2.
00:30
So that means h is 1, k is minus 2, and we could plug these values in for h and k in this formula here to update our equation.
00:40
So this now will become, and we still need to find the value of a, and the way we'll do that is to use the fact that your graph passes through this point.
01:00
So what this means in terms of f is that when x is minus 1, the y value is 14.
01:08
On the other hand, we have a formula over here for f, so let's plug in minus 1 and see what happens.
01:17
So plugging in minus 1 for x, so we have a negative 2 squared minus 2...