Find the aplitude, period and phase shift of the function.

Question

fx=-4sin((pi/3x)-(pi/3))

Answer 1

Given f(x) = Acos(B(x - C)) + D,
 
amplitude: |A|
 
period: 2pi/B
 
phase shift: BC
 
horizontal shift: C
 
vertical shift: D

 

 

 

For f(x) = -4sin((pi/3)x-(pi/3))

 

 

amplitude: 4

 

period: 2pi/(pi/3) = 6

 

phase shift: pi/3