How do you graph # y=2/3sin4(x-5)#?

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Answer 1 · 2018-08-05T11:55:33

#"Amplitude" = 2/3#

#"Period" = pi/2#

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

Given # y = 2/3 sin(4x - 20)#

#A = 2/3, B = 4, C = 20, D = 0#

#"Amplitude" = |A| = 2/3#

#"Period" = (2pi) / |B| = (2pi)/4 = = pi/2#

#"Phase Shift" = -C / B = -20 / 4 = -5#, 5 to the LEFT.

#"Vertical Shift" = D = 0#

graph{2/3 sin(4x - 20) [-10, 10, -5, 5]}