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Are all quadratics of the form y = ax^2+bx +c and y = -ax^2+bx +c functions? Explain your answer.

  • math -

    No, all quadratics in x and y are of the form

    ax^2 + bxy + cy^2 + dx + ey + f = 0

    Now, if you want quadratics where y is expressed as a function of x, then all are of the form

    y = ax^2 + bx + c

    where a,b,c can be positive or negative. There's no need for -ax^2 + bx + c.

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