Precalc Review - Poudre School District



Precalculus A Name

5.4 – 5.6 REVIEW – NO GRAPHING CALCULATORS

Graph each function on a separate piece of paper.

Each graph should have the axes labeled and contain at least two period lengths.

1. y = 2sin(4x)

2. y = -3cos(2x)

3. y = -2cos(x + π/2)

4. y = 3sin(x – π)

5. y = tan(x + π)

6. y = -tan(x – π/2)

7. y = -2tan(3x)

8. y = 4tan(2x)

9. y = cot(x + π/4)

10. y = -4cot(2x)

11. y = sec(x – π/4)

12. y = csc(x + π/4)

13. Find the amplitude, period and phase shift of each function. Graph each function on a separate piece of paper. Each graph should have the axes labeled and contain at least two period lengths.

14. y = 4sin(3x)

Amplitude =

Period =

Phase Shift =

15. y = 2cos(1/3 x)

Amplitude =

Period =

Phase Shift =

16. y = 2sin(2x – π)

Amplitude =

Period =

Phase Shift =

17. y = -cos(1/2 x + π/2)

Amplitude =

Period =

Phase Shift =

18. y = 1/2 sin(3/2 x – π)

Amplitude =

Period =

Phase Shift =

19. y = 3/2 cos(6x + 3π)

Amplitude =

Period =

Phase Shift =

20. y = -2/3 cos(πx – 3π)

Amplitude =

Period =

Phase Shift =

21. y = -7sin(π/3 x + 4π/3)

Amplitude =

Period =

Phase Shift =

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