Write the equation of a sinusoidal function whose midline intersects (0,5), then has its maximum at (2, 7)
+36916 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
