What's the equation

Question

period:2(pi); midline:y=4 horizontal shift: to the right (pi)

Answer 1

Let's assume that these transformations are being applied to y = sin x.

 

y = sin (x-pi) + 4  uplifts the midline to y = 4, keeps amplitude = 1, and keeps period = 2pi, and has phase shift pi to the right.