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Math Help - Horizontal and vertical shifts of functions

  1. #1
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    Horizontal and vertical shifts of functions

    1. y=-2sin(2x) 2. y=-pi cos((pi/2)x+pi)
    I've been working on these problems for days so I would really appreciate if someone helped.
    I found the period and amplitude and I think I found the horizontal shifts but I don't understand how to use the period to find the horizontal shift and I'm completely lost on how to find the vertical shift,please help
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  2. #2
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    Re: Horizontal and vertical shifts of functions

    For y = A\sin B(X-C)+D

    A is the amplitude
    B helps determine the period
    C is the horizontal shift
    D is the vertical shift
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  3. #3
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    Re: Horizontal and vertical shifts of functions

    That equation still leaves me confused I'm trying to teach myself trig and in my book that equation isn't there and for the equations I posted I'm not sure what B,C,or D would be :/
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    Re: Horizontal and vertical shifts of functions

    Quote Originally Posted by leafsakura View Post
    1. y=-2sin(2x)
    A=2 (the negative sign flips the function around the x-axis)
    B=2
    C=0
    D=0

    Quote Originally Posted by leafsakura View Post
    2. y=-pi cos((pi/2)x+pi)
    y= -\pi \cos \left( \left(\frac{\pi}{2} \right)x+\pi \right)

    y= -\pi \cos \left(\frac{\pi}{2} \left( x+2\right) \right)

    A= \pi
    B= \frac{\pi}{2}
    C=2
    D=0
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  5. #5
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    Re: Horizontal and vertical shifts of functions

    Thank you
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