00:01
To determine what kind of conic section this is going to be.
00:04
The first thing you might notice is that we only have one squared term.
00:10
So we have x squared, but we only have a y term by itself.
00:14
So since one of the variables is squared and the other one is just a linear term, this is going to give us a parabola.
00:26
So this is just a parabola.
00:32
So now they want us to complete the square.
00:34
And write the equation in standard form.
00:40
So let's go ahead and just set this to like y is equal, and then we can go from there.
00:46
So let's add that over, and that is going to give x squared minus 2x, and then i'm going to keep this negative 11 here, but on the other side we're going to have 4y.
01:05
All right, and now that we have that, to complete the square, remember what we do is we take this middle term, divided by 2 and then squared and then add it to each size would be negative 2 over 2 squared and then plus negative 2 over 2 but that's going to be the same thing as if we actually subtracted it so i'm just going to subtract it over here instead squared and negative 2 over 2 is going to be negative 1 squared is just going to be 1 and now we can factor this to be x minus 1 squared because it's always x plus this middle term divided by two...