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Math Help - Find Parabola Equation

  1. #1
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    Find Parabola Equation

    What is the equation of a parabola that goes through points (0,1), (1,6), and (2,3)?
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  2. #2
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    Hello

    Quote Originally Posted by magentarita View Post
    What is the equation of a parabola that goes through points (0,1), (–1,6), and (2,3)?
    a parabola has the form f(x) = ax^2 + bx + c

    use your points

    f(0) = a*0 + 0*b + c = 1

    f(-1) = a*(-1)^2 + b*(-1) + c = 6

    f(2) = a*(2)^2 + b*(2) + c = 3

    Can you solve these three equations? yes YOU can

    [solution: c = 1, a=2, b=-3]

    => f(x) = 2x^2-3x+1 is the equation of the parabola that goes through the given points (0,1), (–1,6), and (2,3)

    Regards,
    Rapha
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  3. #3
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    ok...............

    Quote Originally Posted by Rapha View Post
    Hello



    a parabola has the form f(x) = ax^2 + bx + c

    use your points

    f(0) = a*0 + 0*b + c = 1

    f(-1) = a*(-1)^2 + b*(-1) + c = 6

    f(2) = a*(2)^2 + b*(2) + c = 3

    Can you solve these three equations? yes YOU can

    [solution: c = 1, a=2, b=-3]

    => f(x) = 2x^2-3x+1 is the equation of the parabola that goes through the given points (0,1), (1,6), and (2,3)

    Regards,
    Rapha
    It's easier than I thought.
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