In this worksheet, we will practice graphing parametric curves.

**Q1: **

Anthony wants to graph the parametric equations and , where .

He has started to complete a table of values.

0 | 0.5 | 1 | 1.5 | 2 | |

−2 | −1 | 1 | 2 | ||

3 | 2.75 | −1 |

Find the values of , and .

- A , ,
- B , ,
- C , ,
- D , ,

Use the table of values to determine which of the following graphs is correct.

- A
- B
- C
- D

**Q2: **

Karim wants to graph the parametric equations and , where .

He has started to complete a table of values.

0 | |||||

2 | |||||

0 | 0 |

Work out the values of , and .

- A , ,
- B , ,
- C , ,
- D , ,

When Karim plots the coordinates on a graph, he is not entirely sure about the shape of the curve. What is the one thing he could do to find out more about the shape of the curve?

- AKarim could extend his table of values; for example, he could increase by increments of rather than .
- BKarim could extend the value of to be lower than 0.
- CKarim could extend the value of to be greater than .