Homework Help

Find the amplitude, period, phase shift, and vertical displacement for y= square root...

user profile pic

dumbmath | Student, Undergraduate | (Level 1) Honors

Posted February 9, 2012 at 3:10 AM via web

dislike 0 like

Find the amplitude, period, phase shift, and vertical displacement for y= square root of 7 cos(5(x-85degrees)) -1.2 compared to y =cos x

1 Answer | Add Yours

user profile pic

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

Posted February 9, 2012 at 9:52 AM (Answer #1)

dislike 1 like

Given `y=sqrt(7)cos(5(x-85))-1.2`

Note that for `y=Acos(B(x-h))+k` the amplitude is `A` , the period is `(2pi)/B` in radians, or `360/B` in degrees, the phase shift(horizontal translation) is `h` , and the vertical displacement is `k` .

(1) The amplitude is `sqrt(7)`

(2) The period is `360/5=72`

(3) The phase shift is 85 to the right

(4) The vertical displacement is 1.2 down

 

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes