00:01
Given the equation of parabola, and we want to find the focus, directrix, and the length of the focal diameter.
00:09
So the first thing i'm going to do is isolate x squared, but multiplying both sides by four.
00:16
So i get 4 y equal x squared.
00:22
Now, from here, the four, if we just follow, you know, the standard form of a parabola, i'll put that over here.
00:33
On the side.
00:34
So we're comparing this to x squared equal 4 p y.
00:41
So the coefficient of y is 4, which is equivalent to 4p.
00:47
So we set 4p equal to 4 and solve for p to get 1.
00:54
So our focus is an ordered pair and our focus is 0 1 because it's 0p which means our directrix is y equal negative 1.
01:22
Now we also need to find the focal diameter...