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Write the equation of a sinusoidal function whose midline intersects (0,5), then has its maximum at (2, 7)

 Apr 21, 2020
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sin x    has midline at 0    this one is shifted up 5

sin x + 5

 

maximum usually occurs at  pi / 2    this one occurs at  2  so the curve is shifted Right by .4292     (because  2- .4292 = pi / 2)

 

sin (x -.4292) +5     

 

the maximum is usually 1       shifted up 5 in our example = 6     but this maiximum is 7 ....this would be 2 shifted up 5

   so amplitude is 2

 

2 sin (x-.4292) + 5

 Apr 21, 2020

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