00:01
So in this question, we have x squared over 9 minus y squared over 25 equals 1.
00:09
The first thing we want to do is we're going to take a look to find where our vertices are going to be.
00:16
We know our center is going to start at zero zero because there's no addition or subtraction in the numerators.
00:24
Since the x squared is the positive part, we know that my hyperbo is going to open left and right.
00:29
In this case, it's going to open three units to the left and three units to the right of my center point.
00:38
So my vertices here would be negative three zero and positive three zero.
00:43
To create my box to be able to find my asymptotes, i'm going to use my y value.
00:48
In this case, i'm going to go one, two, three, four, five units up and one, two, three, four, five units down.
00:55
This creates our box in the middle, our square, a rectangle in the middle to help us to find our asymptotes...