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Math Help - Express curve in standard form

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    Express curve in standard form

    Use an orthogonal transformation and a translation to express in standard form the curve given by the equation
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    Quote Originally Posted by matty888 View Post
    Use an orthogonal transformation and a translation to express in standard form the curve given by the equation
    You will want to rotate the axes here.
    x = x'~cos(\theta) - y'~sin(\theta)
    y = x'~sin(\theta) + y'~cos(\theta)

    Then you want to pick a value for \theta such that the x'y' term has a coefficient of 0. Then its just a matter of completing the square on x' and y'.

    -Dan
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