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  • 22-07-2021
  • Mathematics
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Find the period and amplitude of the function.
y = -4cos(4/3 x)
Give the exact values, not decimal approximations.

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jessmzhou4
jessmzhou4 jessmzhou4
  • 22-07-2021

Answer:

y = d + a · cos(bx - c) ⇒ y = -4cos(4/3x)

  • a = -4
  • b = 4/3
  • c = 0
  • d = 0

Amplitude = |a| = |-4| = 4

Period = [tex]\frac{2\pi }{b} =\frac{2\pi }{\frac{4}{3} } =2\pi *\frac{3}{4} =\frac{3}{2} \pi[/tex]

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