Amplitude and Period for Sine and Cosine Functions Worksheet
Sine/Cosine Graphing Name______________________
Determine the amplitude and period of each function.
1. y = 3 sin x 2. y = 4 cos 2x 3. y = - sin 3x
Amplitude:_______ Amplitude:_______ Amplitude:_______
Period:__________ Period:__________ Period:__________
4. y = 2 cos 4x 5. y = –6 sin 5 x 6. y = sin (–2x)
Amplitude:_______ Amplitude:_______ Amplitude:_______
Period:__________ Period:__________ Period:__________
7. y = sin [pic]x 8. y = –3 cos ½x 9. y = 8 cos (–4x)
Amplitude:_______ Amplitude:_______ Amplitude:_______
Period:__________ Period:__________ Period:__________
10. y = 4 sin ½ x 11. y = –5 cos ¾ x 12. y = 2 cos (–4x)
Amplitude:_______ Amplitude:_______ Amplitude:_______
Period:__________ Period:__________ Period:__________
Describe the functions below by stating their Amplitude, Period, Vertical Shift
Amplitude Period Vertical shift
10). y = 3 sin 2x + 1 ________ ________ ________________
11). y = - cos 4x + 2 ________ ________ ________________
12). y = sin x – 4 ________ ________ ________________
13 y = 3 cos 3x + 2 ________ ________ ________________
Give the amplitude and period of each function. Then sketch the graph of the function over the interval 0 ≤ x ≤ 2(.
13. y = 3 sin x
Amplitude:
Period:
14. y = 2 cos x
Amplitude:
Period:
15. y = 4 cos 4x
Amplitude:
Period:
16. y = 2 sin 2x Amplitude:
Period:
[pic]
17. y = 4 sin (3x)
Amplitude:
Per
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