1. © Annie Patton Parametric Functions Next Slide

2. © Annie Patton Aim of Lesson To establish what is a set of Parametric Functions and how to differentiate them. Next Slide

3. © Annie Patton What is a Parametric Function? If x = f (t) and y = g (t), such that x and y are both expressed in terms of a third variable say t. Then t is called the Parameter. Note t could be replaced by any other variable for example . Example x=3t and y=t 2 Next Slide

4. © Annie Patton To plot a set of parametric functions x=3t and y=t 2 tx=3ty=t 2 -3-99 -2-64 -31 000 131 264 399 Next Slide

5. © Annie Patton If x = 3t and y = t 2. Find Next Slide

6. © Annie Patton Because of the Quotient Rule Next Slide

7. © Annie Patton Leaving Certificate Higher No 7(b) (ii) Paper 1 2007 Start clicking when you want to see the answer. Next slide

8. © Annie Patton Leaving Certificate Higher No 7(b) (i) Paper 1 2003 Start clicking when you want to see the answer. Next Slide

9. © Annie Patton Next Slide Start clicking when you want to see the answer.

10. © Annie Patton Leaving Certificate Higher No 7(b) Paper 1 2006 Next Slide Start clicking when you want to see the answer.

11. © Annie Patton Leaving Certificate Higher No 7(b) (1) Paper 1 2005 Next Slide Start clicking when you want to see the answer.

12. © Annie Patton Continued Leaving Certificate Higher No 7(b) Paper 1 2004 Next Slide Start clicking when you want to see the answer.

13. © Annie Patton Leaving Certificate Higher No 7(b) Paper 1 2004 Next Slide Start clicking when you want to see the answer.

14. © Annie Patton Butterfly Function Click to see an interesting parametric Function Next Slide

15. © Annie Patton Next Slide

16. © Annie Patton Parametric Functions If x = f (t) and y = g (t), such that x and y are both expressed in terms of a third variable say t. Then it is a parametric Function. The End