Question

Write a cosine function that has a midline of 2, an amplitude of 5 and a period of π.

Answer 1

The standard form of a cosine function is $\sf \: y = a \sin(bx - c) + d$ Where A Amplitude (height), b is period, C is phase shift, D is vertical shift. We are given the Amplitude, Period and Midline. Midline means the same as phase shift. So, the function formed will be

$2 = 5 \sin(\pi x - 2) + 1$