2. State the period, amplitude, max/min values, range, domain, horizontal phase shift and vertical displacement.
a. y = -3cos (2x - 30°) + 1
b. y = 2cos (-0.5x + 90°) - 3
c. y = -2sin (360/3 (t + 1))
3. The graph of y = -3sin (2x) is shifted to the left by 30° units and up 5 units. Write the new equation.
4. Describe how the graphs of y + 3 = 2sin (3x + 90°) compares to the graph of y = sin (x).
5. Find the equation of a sine function that has a vertical displacement 2 units down, a horizontal phase shift 60° to the right, a period of 30°, reflection in the y-axis and the amplitude of 3.