Given y=5 sin(4x – π), state the(a) period (b) phase shift

Graph one period of the function    y = 3 cos(π/2x-3π/2)+2

Compare the phase shift and amplitude of y=-cos(x-180∘) and y=-2sin(x-90∘). Which of the following choices is the correct comparison? a The cosine function has a phase shift that is 12 that of the sine function and in the same direction; the amplitude of the cosine function is 2 times that of the sine function. b The cosine function has a phase shift that is 12 that of the sine function and in the opposite direction; the amplitude of the cosine function is 12 that of the sine function. c The cosine function has a phase shift that is 2 times larger than the phase shift of the sine function and in the same direction; the amplitude of the cosine function is 12 that of the sine function. d The cosine function has a phase shift that is 2 times larger than that of the sine function and in the opposite direction; the amplitude of the cosine function is 2 times that of the sine function.

For the given function y = -13 cos(−x – 30°), state: Amplitude Phase Shift

State the transformations in the correct order that y = sin e undergoes to become the graph of y = -4 sin(0 + 90) + 11 3.

1. One cycle of a sine function begins at x = 3 and ends at x = a. Determine the period of the function. b. Determine the phase shift of the function. c. Write the equation of the function in the form y = sin k(x - d)