SOLUTION: Given y = 2sin(1/3x) + 1, find: (a) Amplitude of y. (b) Midline of y. (c) Period of y.

Algebra ->  Trigonometry-basics -> SOLUTION: Given y = 2sin(1/3x) + 1, find: (a) Amplitude of y. (b) Midline of y. (c) Period of y.      Log On


   

Question 1170198: Given y = 2sin(1/3x) + 1, find:
(a) Amplitude of y.
(b) Midline of y.
(c) Period of y.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
y=A%2Asin%28Bx%29%2BD or y=A%2Acos%28Bx%29%2BD
The amplitude is |A|
The period is 2π/B
The midline is y=D

y=2sin%28expr%281%2F3%29x%29%2B1 

The amplitude is |2|, which = 2
The period is 2pi%2Fexpr%281%2F3%29, which is 6pi=%2218.8......%22 
The midline is y=1



The 5 important points are marked.

Edwin