Question

Math help?
For a sinusoidal function in the form y=A sin Bx+C or
y=A cos Bx+C, the period is 2, the maximum is 10, the equation of the midline is y=3, the
y-intercept is 3, and A<0 What is the equation of the function

Answer 1

Use the sine function since the midline and y-intercept are the same.
(You'd use cosine if the maximum and y-intercept were the same)

A = -amplitude = midline - maximum (negative since A<0 is a requirement)
B = 2π/Period
C = midline