1. Homework Questions…

2. Pre-Calculus Section 6.3 in your book…

3. Parametric Equations and Motion  Parametric equations is the graph of the ordered pairs (x, y), where: x = f (t) y = g (t) Basically, the x and y coordinates both have their own functions to define each coordinate. t is the parameter

4. Example 1 – calc in PAR mode For the given parameter interval, graph the parametric equations: x = t 2 – 2, y = 3t  A. -3 ≤ t ≤ 1  B. -2 ≤ t ≤ 3  C. -3 ≤ t ≤ 3

5. Example 2 – Eliminating the parameter  x = 1 – 2t and y = 2 – t

6. Example 3 – Eliminating the parameter  x = t 2 - 2 and y = 3t.

7. Example 4 – Eliminating the parameter  Eliminate the parameter for: x = 2cos(t) and y = 2sin(t).

8. Example 5: Finding parametric equations (Going from the line to the parametrization)  Find a parametrization of the line through the points A = (-2, 3) and B = (3, 6)

9. Same thing – one more time  Find a parametrization of the line through the points A = (4, 5) and B = (-1, 7)

10. Find the parametrization  A circle with center at (1, 3) and radius 7.

11. Homework!  p. 530 (1-4, 20-32 even)