00:01
So your mirror is in the shape of a parabola.
00:02
Well, let's just put it into the quadrant system like this.
00:05
And we know that it is 32 feet this way, and that is 11 feet up, which means that this point in the parabola would be at the point 16 units over, 16 feet, and then 11 feet up.
00:23
And we know there's another point over here at negative 16 and 11, and we'll put the vertex here at 0 .0.
00:30
And we can find the basic parabola we know is this shape.
00:36
And if we plug in that point, we can figure out what little a is, and then we can go back and figure out where the focus is.
00:43
And so this is just the basics.
00:46
So 11 is equal to a times 16 squared.
00:51
So a is equal to 11 divided by 16 square.
00:54
No, and let's just find out 16 squared is equal to.
00:57
16 is equal to 256.
00:59
So that's our a...