SOLUTION: What is the graph of one cycle of a sine curve with the given characteristics? Using the form y=a sin b theta, that is an equation for the sine curve? Amplitude = 4, period 1/4 pi

Question 969921: What is the graph of one cycle of a sine curve with the given characteristics? Using the form y=a sin b theta, that is an equation for the sine curve?
Amplitude = 4, period 1/4 pi, and a < 0
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The amplitude is the absolute value of : that is , and it is given that ; so, if your amplitude is , but is less than zero, we have to use for .

If our period is usually , and in this case it is , everything has to go times as fast, so .
That will give us a function:

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