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Math Help - Transformations

  1. #1
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    Transformations

    Okay, I'm not sure where I should be posting this, so I'm really sorry if I got it wrong! :/

    Describe the transformations required to change y = x2 into y = 7 + 4(3x-2)2.

    So, would that be;

    Horizontal translation by -2
    Vertical translation by 7
    Vertical dilation by 4?

    But then what about the 3x?

    Argh! It's frustrating me. >_<
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  2. #2
    Master Of Puppets
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    Re: Transformations

    Consider

    y = 7+4(3x+2)^2

    y = 7+4\left(3\left(x+\frac{2}{3}\right)\right)^2

    y = 7+4\left(3^2\left(x+\frac{2}{3}\right)^2\right)

    y = 7+4\times 3^2\left(x+\frac{2}{3}\right)^2
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