00:01
For this set of problems, we're going to discuss how to sketch the curve using parametric equations.
00:06
So this is what it's going to look like.
00:08
You have to understand that parametric equations are sort of like plotting points, where the points themselves are little expressions or equations.
00:15
So we have that our x coordinate is always going to be 1 plus the square root of t, and our y coordinate is going to be t squared minus 4t.
00:23
Now these don't have to be the equations.
00:25
This can be any equations, but we'll give this example first.
00:30
From the book and then we'll do another example so we have a better better understanding and we're told we're going from zero to five so what we can do is we can plug in when x or when t equals zero and we get one and then zero so that's why one zero is a point right here on the graph then we'll plug in a one and then we'll get two uh negative three so that's why we get that right here and we keep going down and eventually we'll see this behavior of the graph we can do this with other examples, even trigonometric ones, such as 2 cosine t, t minus cosine t.
01:10
What we saw in this example was that the curve is going to go from left to right in this direction...