Pre-Calculus Practice Problem 171

Pre-Calculus Practice Problem 171 - 4 Write an equation and...

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Unit 5, Activity 6, The Family of Functions - Sine and Cosine Part II Blackline Masters, Advanced Math-Pre-Calculus Page Comprehensive Curriculum, Revised 2008 169 Part II. Use what you have learned about the families of sine and cosine functions to work the following problems. 1. The graph of a function of the form fx A B x () c o s = is shown below. Find the values of A and B . 2. Write an equation and sketch the graph of a sine function with amplitude 1 2 , period 3 π , phase shift π 4 units to the right 3. The fundamental period of a cosine function is π 2 .
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Unformatted text preview: 4. Write an equation and sketch the graph of a cosine function if the amplitude is 3, the fundamental period is π and there is a phase shift of 2 to the left. 5. As the moon circles the earth, its gravitational force causes tides. The height of the tide can be modeled by a sine or cosine function. Assume there is an interval of 12 hours between successive high tides. a) Sketch the graph of the height if it is 2.6 meters at low tide and 9.6 meters at high tide. b) Use the graph to help express the height of the tide h meters, as a function of the time t hours after high tide....
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