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Math Help - parabola standard form help

  1. #1
    Member OnMyWayToBeAMathProffesor's Avatar
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    Question parabola standard form help

    i need help putting these into standard for and finding the vertex, focus and directrix. it would be greatly appreciated if you did it step by step.

    1) x-2=y^2-10y

    2)x^2+8x-y+20=0

    thank you very much.
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  2. #2
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    Quote Originally Posted by OnMyWayToBeAMathProffesor View Post
    i need help putting these into standard for and finding the vertex, focus and directrix. it would be greatly appreciated if you did it step by step.

    1) x-2=y^2-10y

    2)x^2+8x-y+20=0

    thank you very much.
    You're going to have to learn to "Complete the Square".

    I'll give you a hint.

    y^2-10y = (y^2 - 10y + 25) - 25 = (y-5)^2 - 25

    You tell me where that 25 came from.
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  3. #3
    Member OnMyWayToBeAMathProffesor's Avatar
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    Question reply

    i know how to complete the square. you divided the middle term by 2 and the squared it. you then also added it on the other side. what is next?

    thanxs
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by OnMyWayToBeAMathProffesor View Post
    i need help putting these into standard for and finding the vertex, focus and directrix. it would be greatly appreciated if you did it step by step.

    1) x-2=y^2-10y
    Quote Originally Posted by TKHunny View Post
    You're going to have to learn to "Complete the Square".

    I'll give you a hint.

    y^2-10y = (y^2 - 10y + 25) - 25 = (y-5)^2 - 25

    You tell me where that 25 came from.
    Quote Originally Posted by OnMyWayToBeAMathProffesor View Post
    i know how to complete the square. you divided the middle term by 2 and the squared it. you then also added it on the other side. what is next?

    thanxs
    Put it in standard form. Either x = a(y - h)^2 + k or y = a(x - h)^2 + k.

    -Dan
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