Write an equation in terms of x and y for the function that

Write an equation in terms of x and y for the function that n described by the given characteristics. A cosine curve with a period of pi, an amplitude of 1, a left phase shift of pi, and a vertical translation down 5/2 units. After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by v = 1.7 sin pi/3 where t Is the time (in seconds). (Inhalation occurs when v > 0, and exhalation occurs when v

Solution

18) comparing with y=Acos(Bx+C)+D

amplitude A=1

period 2/B=

=>B=2

phase shift -C/B=-

-C/2=-

C=2

vertical translation down 5/2 units

=>D=-5/2

now equation is y=1cos(2x+2) -(5/2)