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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