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Math Help - HELP! Focus of conic equations.

  1. #1
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    HELP! Focus of conic equations.

    How would i do these 2 problems...
    1.)Find the focus of the conic equation :
    x=y^2-4y+3

    2.)4x^2-9y^2+16x+108y-344=0
    Thanks
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by emetty90 View Post
    How would i do these 2 problems...
    1.)Find the focus of the conic equation :
    x=y^2-4y+3

    2.)4x^2-9y^2+16x+108y-344=0
    Thanks
    see post #2 here
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  3. #3
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    ok thanks, that helps, but i'm having trouble putting it into standard form....
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by emetty90 View Post
    ok thanks, that helps, but i'm having trouble putting it into standard form....
    as in you are having trouble with completing the square, or did you not know that is what you are supposed to do?

    for the first, complete the square for y on the right side

    for the second, write as

    4(x^2 + 4x) - 9(y^2 - 12) = 344

    now complete the square for x and y separately within the relevant brackets

    can you finish?
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