Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Write the equation of a sinusoidal function that rises from a minimum point at (-2,-1) to a maximum point at (3,9).

Please explain:)

Sagot :

AL2006
-- The difference between the maximum and minimum values (9 minus -1) = 10
is double the amplitude of the sine wave, so its amplitude is 5 .

-- The distance in 'time' from the minimum to the maximum (3 minus -2) = 5
is 1/2 of the cycle, so the "wavelength" is 10 .

-- The sine 'begins' halfway between the minimum and maximum = at (1/2, 4) ,
and it's 'phase' is proportional to ' x/10 '.
 
The generic sinusoid is Y = A sin(2π x) .

We know that A = 5 . And this particular wave also has a constant of 4 added to it.
Now I just have to pick my way through the argument of the sine.

Y = 4 + 5 sin [ 2π (x - 0.5)/10 ] .

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.