Find the phase shift of y = A·sin(Bx + C) + D and describe the full wave.
For y = A·sin(Bx + C) + D, the phase shift (horizontal shift) is −C/B. A positive value shifts the graph right; negative shifts it left. The wave's full description includes amplitude |A|, period 2π/|B|, and vertical shift D.
Phase shift
Phase shift = −C / B
The graph is shifted to the RIGHT by that amount. A negative phase shift shifts left. It is measured in x-units (radians if the argument is in radians).
C is the raw constant added inside the argument. The actual shift is −C/B, because B compresses/stretches the x-axis, which affects how far the graph moves.