What is the amplitude, period, and phase shift of f(x) = −2 sin(3x − π) − 1?
amplitude = 2; period = two times pi over three; phase shift: x equals pi over three
amplitude = −2; period = 2π; phase shift: x equals pi over three
amplitude = 2; period = two times pi over three; phase shift: x equals negative pi over three
amplitude = −2; period = 2π; phase shift: x equals negative pi over three

Amplitude = 2; period = two times pi over three; phase shift: x equals pi over three

Step-by-step explanation:

The given function is

Comparing to , we have a=-2 , b=3, and d=-1.

The amplitude is .

This implies that amplitude is

The period is

This implies period is

The phase shift is

This implies that phase shift is

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constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.