Write the equation of a sine or cosine function to describe the graph.

Question

anonymous · Answer

attachment

whpalmer4 · Answer

What is the period?

anonymous · Answer

I know what a period as it pertains to trig but not what this particular period is @whpalmer4

whpalmer4 · Answer

look at the graph!

whpalmer4 · Answer

Look for an identifiable point on the curve that falls on a spot on the grid where you can determine its location.  Then find the corresponding spot in the next cycle, and subtract the two x-values to get the period.

whpalmer4 · Answer

For a sinusoid, good candidates are the max, min, and zero-crossing

whpalmer4 · Answer

Got the period yet?

whpalmer4 · Answer

I hate to say this, but my 10-year-old, having never seen such a problem before, took less than 3 seconds after the same explanation to give me the correct answer :-)

whpalmer4 · Answer

Don't feel too bad, because he found an even easier way to find it than I did :-)

anonymous · Answer

3pi

primeralph · Answer

From 0 a full cycle starts and ends at 3pi, so the period is 3pi. The max is 5 and min is -3, so you have to have a scaling of half the difference ==> 1/(2) (5--3) = 4.
You need an offset of 4-3 = 1.
So, 4sin(2pi/(3pi)x)+1 = 4sin(2x/3)+1