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There are two standard form of parabola:

y2 = 4ax & x2 = 4ay, where a is a real number.

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What is the standard equation?

There is no such thing as a standard equation. Furthermore, there are standard forms - all different - for the equation of a line, a circle, a plane, a parabola, an ellipse and so on. the question needs to be more specific.


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Normally a quadratic equation will graph out into a parabola. The standard form is f(x)=a(x-h)2+k


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To determine if ( y = (x - 1)(x - 3) ) is an equation for a parabola, we can rewrite it in standard form. Expanding this gives ( y = x^2 - 4x + 3 ), which is indeed a quadratic equation representing a parabola. Therefore, yes, ( y = (x - 1)(x - 3) ) is an equation for a parabola.


Given the standard equation for a parabola opening up or down which way does a parabola open when the coefficient of the x2term a is negative Up or down?

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What is the standard equation of a parabola that opens up or down and whose vertex is at the origin?

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