Consider the function f(x) = 4 sin (5 (x – 2))+6. State the amplitude A, period P, and midline. State the phase shift and vertical translation. In the full period [0, P], state the maximum and minimum y-values and their corresponding x-values. Enter the exact answers. Amplitude: A = Number Period: P =

Graph y= -4 csc(1/2x - pi/2) + 5  Find the amplitude, period, phase shift, center, and vertical shift.

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

State the amplitude, period, and phase shift y=3 sin( 1/2x- pi/4) what is the domain and range

Determine the amplitude, period, and phase shift (if any) of the given function. y= - 5cosx The amplitude is

Graph f(x) = -3 cos x + 3 for two periods and determine the amplitude, period, and midline. Enter the exact answers. Amplitude: A = Number Period: P: = Midline: y Number =

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