What are the important points to graph #y=-(5/2)sin(2/3x)#?

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Answer 1 · 2018-05-11T09:38:54

As below.

#y = -(5/2) sin ((2/3)x)#

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

#A = -(5/2), B = (2/3), c = 0, D = 0#

#Amplitude = |A| = \-(5/2)| = 5/2#

#"Period " = P = (2pi) / |B| = (2pi) / (2/3) = 3pi#

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

#"Vertical Shift " = D = 0#

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