ExplanationHere we have been given a parabola symmetric along x axis.

General Equation of parabola is : \(y^2=ax+b\) So rewrititng this equation in the form of quantities we can say:

\(x=\frac{1}{a}y^2 -\frac{b}{a}\)

Hence the two qty are equal when \(a=-1\) and \(\frac{b}{a}=-1\) or \(b=1\)

Now in order to calculate two variables namely \(a\) and \(b\) we need two eaquations. We can get one equation by putting the point (-1, 0) in the parabola equation \(y^2=ax+b\).

Hence we cannot say if the answer is C or not!Depending upon the second point of the parabola the quantities may or maynot be equal.

Hence D is the answer.
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Sandy

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