1. What does the graph of the following equation look like without graphing it. x = t 2 + 1 y = t - 2

2. Sideways parabola with vertex (1, -2)

3. Graph the parametric equation x = 3t 2 + 1 y = 1/(t + 2) Find a single equation using x and y, that eliminates the parameter.

4. 1 x - 1 3 √ + 2 ± y =

5. ??????? Name the Movie and Character(s)

6. 13 24 θ Find the measure of θ

7. 37.797 o

8. 6 25 o x

9. 12.867

10. Name the Movie and Character(s) ???????

11. 34 52 24 o x Find the length of x

12. 25.09

13. 14 12 8 θ

14. 58.81 o

15. θ 32 o 10 8

16. 41.483 o o r 138.517 o

17. ??????? Name the Movie and Character(s)

18. Start Finish 10 40 50 40 30 20 30 James is the High School mascot and during the half time show he starts on the 20 yard line, 35 yards from the sideline. During one point of the routine he walks to the 45 yard line and ends 20 yards from the sideline. His walk took 45 seconds. Write a set of parametric equations for his motion.

19. x = 20 + (5/9)t y = 35 - (1/3)t

20. Start Finish 10 40 50 40 30 20 30 James is the High School mascot and during the half time show he starts on the 20 yard line, 35 yards from the sideline. During one point of the routine he walks to the 45 yard line and ends 20 yards from the sideline. His walk took 45 seconds.What is James's Bearing angle?

21. 329.036 o

22. ?????? Name the Movie and Character(s)

23. Start Finish 10 40 50 40 30 20 30 James is the High School mascot and during the half time show he starts on the 20 yard line, 35 yards from the sideline. During one point of the routine he walks to the 45 yard line and ends 20 yards from the sideline. His walk took 45 seconds. What is his speed along his path?

24. 0.648 yards/sec

25. When Cassie hits a softball, she usually hits the ball at a height of 3 feet. During one at-bat the ball leaves the bat at a 36 o angle with a velocity of 98 ft/s. Write a set of parametric equations for the position of the ball.

26. x = 98cos(36)t y = -16t 2 + 98sin(36)t + 3

27. Name the Movie and Character(s) ???????

28. When Cassie hits a softball, she usually hits the ball at a height of 3 feet. During one at-bat the ball leaves the bat at a 36 o angle with a velocity of 98 ft/s. Will the ball clear a 10ft fence that is 275 feet away?

29. At t = 3.47 sec the ball will travel 275 feet and be at a height of 10.22 feet. Yes it will clear the fence.

30. A pilot heads his plane due east at 300 mi/h. There is a constant 25 mi/h wind blowing at a bearing of 20 o. Find a set of parametric equations for the plane.

31. x = 300t + 25cos(70)t y = 25sin(70)t

32. Name the Movie and Character(s) ???????

33. A pilot heads his plane due east at 300 mi/h. There is a constant 25 mi/h wind at a bearing of 20 o. Give the bearing for the actual course flown by the airplane and the actual distance that the airplane will travel in 3 hours.

34. 928.331 miles 85.646 o

35. A pilot heads his plane due east at 300 mi/h. There is a constant 25 mi/h wind blowing at a bearing of 20 o. What bearing should the pilot set so that the plane travels due east and what speed will it be traveling?

36. 4.49 o 2 99.079 mph

37. A boat is traveling at a bearing of 260 o at 75 mph. However there is also a wind with a bearing of 95 o at 20 mph. Write a set of parametric equations for the position of the boat with the wind.

38. x = -75cos(10)t + 20cos(5)t y = -75sin(10)t + 20sin(5)t

39. Name the Movie and Character(s) ???????

40. A boat is traveling at a bearing of 122 o at 45 knots (knots are a unit of speed = 1 nautical mile per hour). However there is also a wind with a bearing of 210 o at 15 knots. Find the resulting bearing angle and speed of the boat.

41. ????? Name the Movie and Character(s)