Note that as goes from top, the object moves along the curve from the point (1, 0) to the point (0,2).
Key Point!
Directions
Parametric curves show direction of
motion, hence the arrows In the
1. In the essay box below, write a pair of parametric equations for an object graph.
moving along the unit circle. (Hint: How is a point on the unit circle
defined?)
2. On a separate sheet of graph paper, graph the curve that is traced by a
point for the following parametric equations as the parameter varies over the domain OSIS 2
x=2cost
y=2sint
Create a table of values like the one shown above (you may need to upload your table from a word processing
program). Show at least five points.
3. On a separate sheet of graph paper, graph the curve that is traced by a point for the following parametric equations
as the parameter varles over the domain OSIS 2
x-4cost
y2sint
Create a table of values like the one shown above (you may need to upload your table from a word processing
program). Show at least five points
4. Based on your work above, write any Inferences you have about parametric equations of the form x- acost and y-
bsint, for a-band at b.