Question 1183250
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Find a possible formula for the trigonometric function whose values are in the following table.
<pre>
x  0   4   8   12  16   20   24
y  3  -1  -5   -1   3   -1   -5
</pre>y=
I'm really confused how to figure this question out
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<pre>
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 + 4*cos(2pi*(x/16))}}}.


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

Solved.