hnrowell hnrowell
  • 20-12-2017
  • Mathematics
contestada

What are the amplitude, period, phase shift, and midline of f(x) = −4 cos(3x − π) + 1?

Respuesta :

LearnGrow
LearnGrow LearnGrow
  • 20-12-2017

The general function for the cos function is:

y=Acos(B(x+C)) where A is the amplitude,  2πB is the period and phase shift is C .

For our function: f(x) = −4 cos(3x − π) + 1 =-4cos(3(x-π/3))+1

the amplitude is:-4

the phase shift is: -π/3

Answer Link
vanrya1 vanrya1
  • 10-12-2018

Answer:

Amplitude: 4; period: 2 pi over 3; phase shift: x = pi over 3; midline: y = 1

Step-by-step explanation:

Use the form a cos (bx-c)+d to find the amplitude, period, phase shift, and vertical shift.

a=-4

b=3

c=pi

d=1

Answer Link

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