Homework Help

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

user profile pic

topgun13 | (Level 2) Honors

Posted November 24, 2011 at 8:55 AM via web

dislike 0 like

For the following function,`f(x)=sin(x-60^circ)-5` : State

A) amplitude B) maximum C) minimum D) range

1 Answer | Add Yours

user profile pic

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

Posted November 24, 2011 at 9:59 AM (Answer #1)

dislike 0 like

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]

 

 

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes