Question
Determine an equation of a sinusoidal function that has a maximum at (5, 4)
and a minimum at (2, -10).
and a minimum at (2, -10).
Answers
Steve
amplitude = (max-min)/2 = 7
center of wave is at y = (max+min)/2 = -3
f(x) = 7cos(ax+b) - 3
since min is at x=2, and the half-period is 5-2 = 3, the period is 6.
f(x) = -7cos(π/3(x-2))-3
center of wave is at y = (max+min)/2 = -3
f(x) = 7cos(ax+b) - 3
since min is at x=2, and the half-period is 5-2 = 3, the period is 6.
f(x) = -7cos(π/3(x-2))-3