SOLUTION: Find a possible formula for the trigonometric function whose values are in the following table. x 0 4 8 12 16 20 24 y 3 -1 -5 -1 3 -1 -5 y= im really confused how to fig

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Question 1183250: Find a possible formula for the trigonometric function whose values are in the following table.

x 0 4 8 12 16 20 24
y 3 -1 -5 -1 3 -1 -5
y=
im really confused how to figure this question out

Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find a possible formula for the trigonometric function whose values are in the following table.
x  0   4   8   12  16   20   24
y  3  -1  -5   -1   3   -1   -5
y=
I'm really confused how to figure this question out
~~~~~~~~~~~~~~~~~


The minimum is -5;  the maximum is 3.

Hence, the midline is -1 and the amplitude is 4.


The table dictates to use the cosine function.


The period starts from 0 and ends at 16.


So, the trigonometry function is


    y = -1+%2B+4%2Acos%282pi%2A%28x%2F16%29%29.


Here "-1"  represents the midline;  the factor "4"  represents the amplitude;  and the factor (x/16)  models the 16 units period.

Solved.