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What are the amplitude, period, and midline of f(x) = 5 sin(x − π) + 3?

A. amplitude: 5; period: π; midline: y = 3

B. amplitude: 3; period: pi/2; midline: y = 5

C. amplitude: 3; period: pi/4; midline: y = 5

D. amplitude: 5; period: 2π; midline: y = 3

Respuesta :

nobillionaireNobley
amplitude: 5; period: 2π; midline: y = 3
SociometricStar

Answer:

Amplitude, A = 5

Mid line, y = 3

Period = 2π

Step-by-step explanation:

The given equation is [tex]f(x)=5\sin(x-\pi)+3[/tex]

The general sinusoidal equation is

[tex]y=A\sin(Bx+C)+D[/tex]

A = Amplitude

D = mid line

C = phase shift

Period = 2π/B

Comparing the given equation, with this general equation, we get

Amplitude, A = 5

Mid line, y = 3

Period = 2π/1= 2π

Looking into the given options, D is the correct option.

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