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Lv 4
? asked in Science & MathematicsMathematics · 5 years ago

How do you find the coefficients of a standard-form quadratic equation, given a point on the coordinate plane?

Both bx and c are being added. Use (2, 7) as the point.

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  • Earl
    Lv 4
    5 years ago

    Well, given you said bx and c are being added I'll assume you mean positive coefficients.

    a(2)²+b(2)+c = 7 ; such that: b,c > 0

    We could pick either b or c to be 1. Substitute:

    4a+2+c = 7

    This function serves all possible infinite number of solutions for a and b.

    For example: f(x) = -1/4x² + x + 4

    Of course, there are an infinite number of such quadratics.

  • DWRead
    Lv 7
    5 years ago

    You can't determine the equation from one point.

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