In Exercises 69–72, you will explore graphically the general sine function
as you change the values of the constants A, B, C, and D. Use a CAS or computer grapher to perform the steps in the exercises.
The horizontal shift C Set the constants A = 3, B = 6, D = 0.
a. Plot ƒ(x) for the values C = 0, 1 , and 2 over the interval -4π ≤ x ≤ 4π. Describe what happens to the graph of the general sine function as C increases through positive values.
b. What happens to the graph for negative values of C?
c. What smallest positive value should be assigned to C so the graph exhibits no horizontal shift? Confirm your answer with a plot.
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