How do you graph #y = 2 cos 3 (x - (pi/4))#?

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Answer 1 · 2018-07-04T01:46:24

As below.

Standard cosine function is #y = A cos (Bx - C) + D#

#"Given : " y = 2 cos(3x - (3pi)/4) #

#A = 2, B = 3, C = (3pi)/4, D = 0#

#Amplitude = |A| = 2#

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

#"Phase Shift " = -C / B = -((3pi)/4) / 3 = -(pi/4),color(crimson)( pi/4 " to the LEFT"#

#"Vertical Shift " = D = 0#

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