7. Consider the function y = 2 cos (3x-3) + 1. What is the phase shift of the function? A, Vertical shift 1 unit up B. Phase shift: 3π 2 left C. Phase shift- right 37[ 2 π D. Phase shift right 2 8. Alice is riding a Ferris wheel, where t is time in seconds, and her height above the ground, h, is described by h = 11 cos(12t) + 12. What is the range of this function? A. {hER 11

Sketch the graph of y=2sinx from x=0 to x=2 by making a table using multiples of /2 for x. What is the amplitude of the graph you obtain?

the periou aHU amplitude. 3. The average temperature in Detroit, Michigan on any given day of the year can be modeled by T(t) = 27 sin(0.0172(t- 115) + 50, where T is the temperature in degrees Fahrenheit and t is the number of days elapsed since January 1st. (a) State the period (in days), the amplitude, the vertical shift, and the phase shift. Interpret all four of these in the context of the real-world situation being modeled.

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.