Find a possible formula for the trigonometric function graph

Find a possible formula for the trigonometric function graphed below. Use

x as the independent variable in your formula.

f(x)=?

Solution

a) Amplitude =1

base line = (5+3)/2 = 4

T = 6

f= 1/T = 1/6

y = cos[2pi*(x- 1.5)/16]+4

b) Amplitude = 3
Base line = 3
T = Period = 9+9 =18
f = 1/T = 1/18
Phase shift = 9
y = 3sin[2pi*(x-9)/18]+3
y = 3sin[pi*(x-9)/18]+3