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How do you graph #y=1/2sin2x-1#?

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Jun 24, 2018

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As below.

Explanation:

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

#"Given equation is " y = (1/2) sin 2x - 1#

#A = 1/2, B = 2, C = 0, D = -1#

#Amplitude = |A| = 1/2#

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

#"Phase Shift " = -C / B = 0#

#"Vertical Shift " = D = -1#

graph{(1/2) sin (2x) - 1 [-10, 10, -5, 5]}

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