Graph the function, and determine the amplitude, period, and phase shift:                                                                 y =- sin (1/2 x -  π/2 ) + 1/2

Consider the following function. y = -3.5 cosx + 4) (a) Using pencil and paper, not a graphing utility, determine the amplitude, period, and phase shift for the function. amplitude period phase shift (b) Use a graphing utility to graph the function for two complete cycles. [In choosing an appropriate viewing rectangle, you will need to use the information obtained in part (a).] y y 4 4| 2. -12 \12 я - 12 12 л - 6 -2 2 -4 y y 4 4- 2 2 -3 12 л - 3 12 л - 9 -2 (c) Use the graphing utility to estimate the coordinates of the highest points on the graph. (Round your answers to two decimal places.) (x, y) = (smaller x-value) (x, y) = (| (larger x-value) Use the graphing utility to estimate the coordinates of the lowest points on the graph. (Round your answers to two decimal

Sketch the graph of the function defined by the equation . Indicate the image, amplitude, period and phase shift of this function.

Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y=-2 sin (-2x+3)-3 Which of the following functions is equivalent to y = - 2 sin (x - 17 ) - 3 O A. y 4 sin x- O C. y=-2 sin |2x - π n ( - 2x + 737) - 3² 3? 3 O B. y = -2 sin 2 sin (2x + 3) +3 O D. y=2 sin 2x- - 3

Find the amplitude for the periodic function y=-5cos(2x).   A. -5 B. 5 C. -2 D. 2

What is the period of the graph of the function y sin(9x)? Use pi for T.