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The curve y = (x^2-4) is translated by(2 0). Write down an equation for the translated graph.Explain

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  1. y=×^2-4
    = (×-2)(×+2)
    so intersects X axis at 2 and -2.
    as there is a translation of (2,0), curve moves to the right twice hence giving roots of 0 and 4. now equation is y=×(×-4)
    if this is gcse the teacher will know you copied from somewhere...but ur welcome

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  2. to translate right by 2, replace x with x-2.
    y = (x-2)^2 = 4
    The 0 vertical translation does nothing.

    As always, get out some graph paper and DRAW THE GRAPHS!

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    oobleck
  3. oops (x-2)^2 - 4 = x^2-4x+4 - 4 = x^2-4x

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    oobleck

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