SOLUTION: What is the equation for the graph shown below? http://prntscr.com/r4oxge

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Question 1152696: What is the equation for the graph shown below?
http://prntscr.com/r4oxge
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
How to find the sinusoidal equation given the maximum and minimum points?
use general formula:
y+=+A+sin+%28b%28x+-+h%29%29+%2B+k
since max at (3%2F2,12) and min at (9%2F2,4)
we have
k=abs%28max+-+min%29
k=12-4=8

A+=+abs%28max-min%29%2F2=%2812-4%29%2F2=4
sin periodicity is P=2pi => P%2F3=%282pi%29%2F3,h=0
your function is:
y+=+4sin+%28%282pi%2F3%29x+%29+%2B+8

answer: A. y+=+4sin+%28%28P%2F3%29x+%29+%2B+8


graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+15%2C+4sin%28%282pi%2F3%29x+%29+%2B+8%29+