What is the amplitude of this trigonometric function What is

What is the amplitude of this trigonometric function? What is the period of this trigonometric function? Write an expression defining y as a function of x which best describes this graph.

Solution

A) Amplitude = 12+(-4)/2=8/2 = 4

B) Here period =2/3

for third part we will find the vertical shift

we get 12-4/2= 4

C)so we will have y= 8 sin( 3pi*x) + 4