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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