For the following function,`f(x)=sin(x-60^circ)-5` : StateA) amplitude B) maximum C) minimum D) range

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embizze | High School Teacher | (Level 1) Educator Emeritus

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Given `f(x)=sin(x-60^circ)-5` , we have the parent function as `f(x)=sinx` .

There are two transformations:

(1) Subtracting 60 produces a horizontal translation of 60 to the right (right shift).

(2) Subtracting 5 from the function lowers the midline 5 units.

Thus:

(a) The amplitude remains 1.

(b) The maximum is 1-5=-4.

(c) The minimum is -1-5=-6.

(d) The range is [-6,-4]

 

 

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