00:01
Okay, so for this problem, we are given x equals square root of t plus one, y equals square of t minus one.
00:07
And we are asked to eliminate the parameter to find a cartesian equation of the curve.
00:13
Then we're asked to sketch this curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.
00:22
So we have x and y both in terms of t.
00:26
So we're going to want to solve for one in terms.
00:29
We're going to want to solve for t, so it's in terms of x or it's in terms of y.
00:36
And so since we're wanting to find the cartesian equation, i always like y equals something.
00:42
So i'm going to solve for t in terms of x.
00:46
So i'm going to square both sides.
00:49
So x squared is going to be equal to t plus one, x squared minus one is equal to my t.
00:55
Now that i have this t value, i can go ahead and plug it in here...