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Math Help - Help with a few questions

  1. #1
    Newbie
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    Help with a few questions

    I would really appreciate any help on these math questions. They are giving me tons of trouble

    Simplify- and tell which conic section it is: 2x^2 + 4x +y^2 +10y = 25

    Ellipse: x^2 +4y^2 + 8y + 6x = 23
    Standard Equation:
    Center:
    Vertices
    Co-certices
    Foci

    Circle: x^2 + 4y +y^2 = 12
    Translated 6 units left and 4 units up

    Standard Form:
    Translated Form:

    Thanks for any help,

    Dan
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by dbcavs23 View Post
    I would really appreciate any help on these math questions. They are giving me tons of trouble

    Simplify- and tell which conic section it is: 2x^2 + 4x +y^2 +10y = 25
    I don't know what you are looking for but:

    2x^2 + 4x +y^2 +10y = 25

    becomes:

    2(x^2 + 2x) +(y^2 +10y) = 25

    or:

    2(x + 1)^2 - 2 +(y + 5)^2 -25 = 25

    which simplifies to:

    (x + 1)^2 +\frac{(y + 5)^2}{2} = 26

    Which is an ellipse with centre at (-1,-5).

    RonL
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