Graphing the Sine Function

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Show your work for each problem.

1.
What is the amplitude of ?
1. a)
2. b)
3. c)
4. d)
2.
What is the period of ?
1. a)
2. b)
3. c)
4. d)
3.
What is ?
4.
What is ?
5.
What is the range of ?
1. a)All real numbers
2. b)
3. c)
4. d)
6.
What is the amplitude of ?
7.
What is the period of ?
1. a)
2. b)
3. c)
4. d)
8.
What is the period of ? Express your answer in terms of .
9.
What is the range of ?
1. a)
2. b)
3. c)
4. d)
10.
Find the amplitude and period of .
11.
In which direction does shift compared to ?
1. a)Up by
2. b)Right by
3. c)Left by
4. d)Down by
12.
Find the range of .
13.
For , find the amplitude, period, phase shift, and vertical shift.
14.
What is the range of ?
1. a)
2. b)
3. c)
4. d)
15.
A sound wave has a frequency of 440 Hz. What is its period in seconds? Round to 4 decimal places.
16.
Write the equation for a sine function with amplitude 4, period , phase shift to the right, and midline .