3A determine amplitude period and phase shift based on the i

3.A) determine amplitude, period, and phase shift based on the image, the image is a cosine graph coordinates: (0,15),(3,11),(6,7),(9,11),(12,15)            B) use cosine function of the form y = A cos Bx+D to write the equation of the function please show work . i gave you the coordinates for the image . its cosine . i know you can graph that , i cannot get the image to load

Solution

as the graph is not given i assume  (0,15),(12,15) as top most points , (6,7) lower most point

A)

amplitude A =(15-7)_/2 =4

period =12-0=12

phase shift =0

vertical translation D=(15+7)_/2=11

B)

period 2_/B=12

=>B=2_/12

=>B=_/6

cosine function is y=(4 cos((_/6)x)) +11