SOLUTION: Determine the amplitude, period, midline, and an equation involving the cosine for the graph shown in the figure below. https://www.webassign.net/waplots/a/c/238c3e7c0184dd9ef9614

Algebra ->  Trigonometry-basics -> SOLUTION: Determine the amplitude, period, midline, and an equation involving the cosine for the graph shown in the figure below. https://www.webassign.net/waplots/a/c/238c3e7c0184dd9ef9614      Log On


   

Question 1203718: Determine the amplitude, period, midline, and an equation involving the cosine for the graph shown in the figure below.
https://www.webassign.net/waplots/a/c/238c3e7c0184dd9ef9614a641d8145.gif
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
standard form a cosine function:
y=a%2Acos%28bx%2Bc%29±d
where+abs%28a%29 is amplitude, 2pi%2Fabs%28b%29+is period, c is phase shift, d is vertical shift

in the case of the basic cosine function, f%28x%29+=+cos%28x%29, the period is 2pi

in your case, from the graph we see that

2pi%2Fabs%28b%29=pi
then
2=abs%28b%29
b=2

amplitude:+3
period: 2pi%2F2=pi
midline: y=-3

an equation: f%28x%29=+3cos%282x%29-3


+graph%28+600%2C+600%2C+-3.5%2C3.5%2C+-6%2C+6%2C+3cos%282x%29-3%29+