(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Construct or "work backwards" from a sine graph to a sine formula. The formula should be in:

y = A sin(Bx+C) +D

Where A is amplitude, D is Vertical Shift (on y access) and Bx+C are arguments of the function

The graph shows that the Phase Shift is 1 and Period is 6 (meaning the basic cycle begins at 1 and ends at 6)

2. Relevant equations

0 <= x <= 2pi (pi as in 3.14..) ("<=" is less than or equal too)

3. The attempt at a solution

1 <= x <= 6

0 <= x-1 <= 5 /** subtract 1 from all terms **/

0 <= pi(x)-1 <= 5pi /** multiply all terms by pi **/

0 <= (pi(x)-1)/2 <= 5pi/2 /** divide all terms by 2 **/

STUCK

The solution should be in 0 <= Yx+-Z <= 2pi (Where Y and Z can be any integer, the only thing that matters is that the 0 is at the beginning and that 2pi is the end)

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This is not the only solution I tried, just the last one, so unless I have missed something rather fundamental I can't seem to solve this one. Please note that I solved 14 other problems that were basically of the same thing using the same methods that I have used to try to solve this problem and they all worked out and check out in the answers section (I am not a student, just picking up where I left off in high school).

If I have done something wrong (in the formatting of this posting) or you need something that I neglected to mention just let me know as this is my first time posting anything on this forum.

Also just to clarify all i am looking for is a solution the equalities statement not the whole y = equation as I understand that entirely.

thanks immensely!

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# Homework Help: Trig/constructing sine function from graph

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