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Thread: Finding The Vertical Translation

  1. #1
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    Finding The Vertical Translation

    Hi there!

    How would you solve for b and n in this question (I know how to solve for A):

    A function with the rule
    y=Asin(nt)+b has the range [2,8] and the period 2pi/3
    Find A, b and n


    Any help much appreciated!
    Thank you in advance!
    ~Ebony Jade :-)
    Last edited by EbonyJade; May 27th 2017 at 12:10 AM.
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  2. #2
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    Re: Finding The Vertical Translation

    sin(x) has period 2\pi so sin(nt) will complete one full period when nt goes from 0 to 2\pi. What is t when nt= 2\pi? What must n be so that will be equal to 2\pi/3?

    The smallest possible value for sin(x) is -1 so the smallest possible value for A sin(nt)+ b is -A+ b. The largest possible value for sin(x) is 1 so the largest possible value for A sin(nt)+ b is A+ b. Here you want the function to go from 2 to 8. That is, you want -A+ b= 2 and A+ b= 8.
    Thanks from EbonyJade
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  3. #3
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    Re: Finding The Vertical Translation

    Thank you :-)
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