How do you graph #f(x)=7.8cos1.5(x-pi)+6#?

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Answer 1 · 2018-07-04T02:04:42

As Below.

Cosine function format is #y = A cos( Bx - C) + D#

#y = 7.8 sin ((3/2)x - (3pi)/2) + 6#

#A = 7.8, B = 3/2, C = (3pi)/2, D = 6#

#Amplitude = |A| = 7.8#

#"Period " = (2pi) / |B| = (2pi)/(3/2) = (4pi)/3#

#"Phase Shift " = -C / B = -((3pi)/2)/(3/2) = -pi, color(crimson)(pi" to the LEFT"#

#"Vertical Shift " = D = 6#

graph{7.8 cos((3/2)x - (3pi)/2) + 6 [-10, 10, -5, 5]}