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Jordan
Lv 7
Jordan asked in Science & MathematicsMathematics · 8 years ago

Write an equation of the parabola?

How do you write the equation of a parabola in vertex form by completing the square using this equation:

x^2 + 24y - 8x = -16

3 Answers

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  • MechEng2030
    Lv 7
    8 years ago
    Favorite Answer

    x^2 + 24y - 8x = -16

    24y + (x - 4)^2 - 16 = -16

    y = -1/24 * (x - 4)^2

    So we have a parabola with vertex (4, 0).

  • Andy P
    Lv 7
    8 years ago

    Grouping

    x^2 - 8x + 16 = -24y

    (x - 4)^2 = -24y

    -1/24( x- 4)^2 = y - 0 or

    (y - 0) = -1/24 (x - 4)^2

  • Mike G
    Lv 7
    8 years ago

    x^2-8x+16-16+24y = -16

    (x-4)^2 + 24y = 0

    y = -(x-4)^2/24

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