1. Practice for tomorrow’s test (solutions included)

2. Question 1 Graph y = 4sin (3x)+ 2 and state the amplitude, period, and midline

3. Question 2 What has changed between the two graphs below?

4. Question 3 Graph y = sin(4x) and state the period

5. Question 4 Graph y = - 3 cos x and state the amplitude

6. Question 5 Graph y = 5 sin x – 2 and state the range

7. Question 6 Graph y = -3 cos (4x) + 1 and state the Period, amplitude, and range

8. Question 7 What is the equation for the graph below

9. Question 8 What is the equation for the graph below

10. Question 9 Create an equation for a sin wave that has an amplitude of 2 Midline of y = -3 An x axis rotation And has two waves

11. Question 10 Create an equation for a sin wave that has an amplitude of 4 Midline of y = -1 no x axis rotation And has three waves

12. 11. Ferris wheel question Write an equation for a Ferris wheel that you board at the ground, ride for 21 minutes, and during that time complete 3 full revolutions. The maximum height that you reach is 130 feet. a.Write an equation to model this Ferris Wheel b. What height is the rider after 9 minutes?

13. 12. Horizontal shift create both and sin and cos wave for the following

14. Question 1 KEY Graph y = 4sin (3x)+ 2 and state the amplitude, period, and midline A: 4, P: 2pi/3, y = 2

15. Question 2 key What has changed between the two graphs below? AMPLITUDE has changed

16. Question 3 key

17. Question 4 key Graph y = - 3 cos x and state the amplitude Amplitude: 3

18. Question 5 key Graph y = 5 sin x – 2 and state the range Range [-7,3]

19. Question 6 key Graph y = -3 cos (4x) + 1 and state the Period = 3 pi / 4 Amplitude = 3, and range = [-2,4]

20. Question 7 key What is the equation for the graph below y = 3 sin (2x) - 1

21. Question 8 key What is the equation for the graph below Y = -2 cos (1x) + 4

22. Question 9 key Create an equation for a sin wave that has an amplitude of 2 Midline of y = -3 An x axis rotation And has two waves y = - 2 sin (2x) - 3

23. Question 10 key Create an equation for a sin wave that has an amplitude of 4 Midline of y = -1 no x axis rotation And has three waves y = 4 sin(3x) - 1