How do you graph y=-2-sin(x-pi)?

1 Answer
Jun 19, 2018

As below.

Explanation:

Standard form of sine function is y = A sin (Bx - C) + D

"Given " y = - sin (x - pi) - 2

A = -1, B = 1, C = pi, D = -1

Amplitude = |A| = |-1| = 1

"Period " = (2pi) / |B| = 2pi

"Phase Shift " = _C / B = -pi / 1 = -pi, pi " to the left"

"Vertical Shift " = D = -2

graph{- sin(x - pi) - 2 [-10, 10, -5, 5]}