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Sketch one period of the following function. Indicate the amplitude, period, and phase shift and
label the maximum point, minimum point, initial point, midpoint, and final point. y = -4cos(x/3
+ pi/6).
Solution
y = -4*cos[(x/3) + (pi/6)]
Amplitude = 4
Period = 6pi
Phase shift = pi/2 to the left
Maximum point = 5pi/2
Minimum point = -pi/2
Initial point = 0

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Sketch one period of the following function. Indicate the amplitude, .pdf

  • 1. Sketch one period of the following function. Indicate the amplitude, period, and phase shift and label the maximum point, minimum point, initial point, midpoint, and final point. y = -4cos(x/3 + pi/6). Solution y = -4*cos[(x/3) + (pi/6)] Amplitude = 4 Period = 6pi Phase shift = pi/2 to the left Maximum point = 5pi/2 Minimum point = -pi/2 Initial point = 0