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

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Answer 1 · 2018-06-19T06:57:43

As below.

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]}