Question

Find a function of the form

y=Asin(kx)+C or y=Acos(kx)+C whose graph matches this one:

Answer 1

y = 2sin((π/7)x)

Explanation:

The graph goes through (0, 0) and has a range of ±2. This matches a sine function with an amplitude (A) of 2 and a vertical offset (C) of zero.

The half-period is 7, so the value of k is such that 7k = π, or k = π/7.

The desired function is y = 2·sin((π/7)x).