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y2 = 4ax is as broken down it can get because there are no like terms that can be combined.

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Q: What is y2 equals 4ax?
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What is the standard equation of a parabola?

There are two standard form of parabola: y2 = 4ax & x2 = 4ay, where a is a real number.


What does 4 stands for in equation of parabola square of square of y equals 4ax?

A parabola with an equation, y2 = 4ax has its vertex at the origin and opens to the right. It's not just the '4' that is important, it's '4a' that matters. This type of parabola has a directrix at x = -a, and a focus at (a, 0). By writing the equation as it is, the position of the directrix and focus are readily identifiable. For example, y2 = 2.4x doesn't say a great deal. Re-writing the equation of the parabola as y2 = 4*(0.6)x tells us immediately that the directrix is at x = -0.6 and the focus is at (0.6, 0)


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Oh! i learnt about 8 different types of parabola! 1] y2 = 4ax 2] y2 = -4ax 3] x2 = 4ay 4] x2 = -4ay 5] (y-k)2 = 4a(x-h) 6) (y-k)2 = -4a(x-h) 7] (x-h)2 = 4a(y-k) 8] (x-h)2 = -4a(y-k)


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