Graph f(x) = 3sin(2x-pie). Find the amplitude, period, and phase shift of the function. 

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llltkl | College Teacher | (Level 3) Valedictorian

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The general formula for the sine function is `y = Asin(Bx-C)+D ` where

A is the amplitude of the function,

The period P is given by `(2pi)/B` , and

`C/B` is the phase shift of the graph (the shift left (if `C/B` is negative) or right (if `C/B` is positive)).

Here,` f(x) = 3sin(2x-pi)`

Amplitude=`3`

Period =`(2pi)/2=pi`

Phase shift=`pi/2` . Since, `C/B` value is positive the shift is to the right.

 

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