Pre-Calculus Parametrics Worksheet #2
1. Fill in the table and sketch the parametric equation for t [-2,6]
|t |x |y |
|-2 | | |
|-1 | | |
|0 | | |
|1 | | |
|2 | | |
|3 | | |
|4 | | |
|5 | | |
|6 | | |
x =
y = 2 – t
Eliminate the parameter to write the parametric equations as a rectangular equation.
2. x = 3. x = 6 – t 4. x = ½t + 4
y = 4t + 5 y = y = t3
5. x = 3 cos t 6. x = 4 sin (2t) 7. x = cos t
y = 3 sin t y = 2 cos (2t) y = 2 sin2t
8. x = 4 sec t 9. x = 4 + 2 cos t 10. x = -4 + 3tan t
y = 3 tan t y = -1 + 4 sin t y = 7 – 2 sec t
Write two new sets of parametric equations for the following rectangular equations.
11. y = (x + 2)3 – 4 12. x =
13. For the parametric equations x = t and y = t2
a) Sketch the graph and state an appropriate window.
b) Graph x = t – 1 and y = t2. How does this compare to the graph in part (a)?
c) Graph x = t and y = t2 – 3. How does this compare to the graph in part (a)?
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