1. Graphs
2004

2. Question One
Use the grids alongside to draw the graphs of:

3. x = 6

4. x = 6

5. y =(x - 4)( x + 2)

6. y =(x - 4)( x + 2)

7. y =(x - 4)( x + 2)

8. y = 3x - 6

9. y = 3x - 6

10. Question Two
Jim is organising the transport to the season’s games for his Touch team. He gets quotes from the Mighty Minibus Co and Various Vans for a minibus. Jim can use the graph below to work out the cost of a trip for each rental company.

11. How much does the Mighty Minibus Co charge per kilometre?

12. How much does the Mighty Minibus Co charge per kilometre?50 70

13. Charges by Various Vans include a fixed fee for each trip
Charges by Various Vans include a fixed fee for each trip. How much is this fixed fee?

14. Charges by Various Vans include a fixed fee for each trip
Charges by Various Vans include a fixed fee for each trip. How much is this fixed fee?
$30

15. For which length of trip do both companies charge the same?

16. For which length of trip do both companies charge the same?
50 km

17. Write the equation for the Various Vans graph.

18. Gradient is 4/5 = 0.8

19. Question Three
Write the equations of the lines drawn on the grid below:

23. Question Four
Use the grids alongside to draw the graphs of:

24. 2y - 3x = 18

25. 2y - 3x = 18

28. y = 2x2 + 8x

29. y = 2x(x + 4)

30. Question Five

31. How far away from Tere does the ball land?

32. Write values on the graph.
-10 6

33. Distance from Tere is 16 m
-10 6

34. What is the maximum height the ball reaches
What is the maximum height the ball reaches? You should find this as accurately as you can.
-10 6

35. What is the maximum height the ball reaches
What is the maximum height the ball reaches? You should find this as accurately as you can.
-10 6 -2

36. Can substitute in the equation:
-10 6 -2

37. OR can find it using:
-10 6 -2

38. What is the height of the ball when it crosses the half-way line?
-10 6 -2

39. the half-way line means d = 0,
-10 6 -2

40. Question 6
The Touch team is still warming up before the game. Lea is 11 metres from the half-way line. Lea passes the ball towards Jim and it travels as shown in the graph below.
Jim is standing 7 metres from the half-way line on the opposite side to Lea. He can reach up a maximum height of 2.2 metres.

41. Will he be able to touch the ball as it goes over his head
Will he be able to touch the ball as it goes over his head? You must use calculations to support your answer.

42. Equation

43. Equation
When x = 12, y = 0

44. Equation
When x = 12, y = 0

45. Equation

46. Equation

47. Equation
When x = 7, h = 2.64 so Jim cannot reach the ball.