What are the amplitude, period, phase shift, and midline of f(x) = 2 sin(x + π) − 4?

Amplitude =2 ,

Time period =   .

Phase shift =  π.

Step-by-step explanation:

Given :  f(x) = 2 sin(x + π) − 4.

To find : What are the amplitude, period, phase shift, and midline.

Solution : We have given that f(x) = 2 sin(x + π) − 4.

Standard form of sine function : y=Asin(Bx+C) + D.

Where, A = amplitude , Time period =  ,  C = phaseshift

Midline , D = vertical shift.

On comparing

amplitude =2 ,

Time period =   .

Phase shift =  π.

Therefore, amplitude =2 ,

Time period =   .

Phase shift =  π.

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour