SOLUTION: Write the equation of the reflected cosine function where the amplitude is 6, the period is pie/2, and the displacement is pie/8 units to the right.

Algebra ->  Trigonometry-basics -> SOLUTION: Write the equation of the reflected cosine function where the amplitude is 6, the period is pie/2, and the displacement is pie/8 units to the right.      Log On


   

Question 455414: Write the equation of the reflected cosine function where the amplitude is 6, the period is pie/2, and the displacement is pie/8 units to the right.
Answer by lwsshak3(11628) About Me  (Show Source):
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Write the equation of the reflected cosine function where the amplitude is 6, the period is pie/2, and the displacement is pie/8 units to the right.
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Standard form for the Cosine function: y=Acos(Bx-C), with A=amplitude, Period=2π/B, Phase-Shift=C/B. y=-Acos(Bx-C) is the reflected form.
For given equation:
Amplitude=6
Period=π/2=2π/B
B=4
Phase-shift=π/8=C/B=C/4
C=π/2
equation: y=-6cos(4x-π/2)