The function y a cos bxcd is graphed below Assume a and c a

The function y = a cos (b[x-c])+d is graphed below. (Assume a and c are positive) What is the value of a? What is the value of b? What is the value of c? What is the value of d?

Solution

we see in this picture   we have lower point at -2 and highest peak at   6

since a is positive so a=4   and d= 2

Maximum = 2+4=6

Minimum = 2-4=-2

since period = 2pi/b

we will equate 2pi/b= pi/6

we will get b= 12

phase shift = 4

4=-c/b

4=-c/12

c=1/3