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.

x -

median = 1.25

range = 12-14.5

interquartile = q12-q14.5

y -

median = 1

range = 15-17

interquartile = q15-q17