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

1 Answer
Jun 19, 2018

Answer:

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]}