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.

Set the constants A = 3, C = D = 0.

a. Plot ƒ(x) for the values B = 1, 3, 2π, 5π over the interval -4π ≤ x ≤ 4π. Describe what happens to the graph of the general sine function as the period increases.

b. What happens to the graph for negative values of B? Try it with B = -3 and B = -2π.

f(x) = A sin x c ) + 2TT -(x B C) + D