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

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(52856) (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 = .


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

Solved.

RELATED QUESTIONS
The relationships in the tables below are functions. Write a function rule for each... (answered by Jk22)

Greetings, Any help with the following would be appreciated. 1. The table... (answered by scianci)

Guess a formula for the function represented by this table. Begin the formula with y=.... (answered by josgarithmetic)

WRITE A FUNTION RULE FOR THE DATA IN THE TABLE. INPUT X-0 1 2 3 4 OUTPUT Y-0 4 8 12 (answered by stanbon)

The following table of values are points on the function f(x) = a(c)x. What are the... (answered by ikleyn)

Find the formula for a linear function f that models the data in the table exactly. x:... (answered by josgarithmetic)

MAT 145: Topics In Contemporary Math QUESTION 12 Convert the message (answered by ikleyn)

MAT 145: Topics In Contemporary Math QUESTION 12 Convert the message... (answered by greenestamps)

please help me. this is my last resort 1. Find the midpoint and... (answered by Fombitz)