SOLUTION: Suppose y=5cos(8t+10)−4. In your answers, enter pi for π. What is the horizontal shift? _____

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Question 955590: Suppose y=5cos(8t+10)−4. In your answers, enter pi for π.
What is the horizontal shift? _____

Answer by lwsshak3(11628) About Me  (Show Source):
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Suppose y=5cos(8t+10)−4. In your answers, enter pi for π.
What is the horizontal shift?
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Form of equation for cos function: y=Acos(Bx-C)+D, period=2pi/B, A=amplitude, phase shift=C/B, D=vertical shift
For given equation:
B=8
period=2pi/8=pi/4
amplitude=5
C=10
phase shift=10/8=5/4 units to the left
D=-4 (curve shifted 4 units down)