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A parabolae plural parabolas or parabola is a two-dimensional, mirror-symmetrical curve. It can be in any orientation in its plane and approximately U-shaped.

The parabola involves a line (the directrix) and a point (the focus). A parabola is a graph of a quadratic function, such as y=x^2.

The Parobola Equation in Vertex Form

(X-h)² = 4a(Y-k);  ( a = √(h-x1) * (h-x1) + (k - y1) * (k-y1) )

Where vertex: (h, k), focus: (x1, y1).

Parobola Equation in Standard Form

Y = (1/4a)X² - (h/2a)X + (k + h²/4a);

Where a = √(h-x1) * (h-x1) + (k - y1) * (k-y1) )

The Parobola Equation graph below:

The complete parabola has no endpoints. In the graph Part of a parabola is blue, it's various features in other colours. The parobola's orientation could extends to the downward, left, right, and upward.