Parabola n. : A kind of curve; one of the conic sections formed by the intersection of the surface of a cone with a plane parallel to one of its sides. It is a curve, any point of which is equally distant from a fixed point, called the focus, and a fixed straight line, called the directrix. See Focus.

Parabola n. : One of a group of curves defined by the equation y = axn where n is a positive whole number or a positive fraction. For the cubical parabola n = 3; for the semicubical parabola n = /. See under Cubical, and Semicubical. The parabolas have infinite branches, but no rectilineal asymptotes.

Example:
What would the equation of the 2nd Parabola? Do the two Parabolas have any points in common?

Taxonomy
parabola, Vertex of a parabola, directrix, equation, axis, axis of symmetry, perpendicular, tangent, shape, the distance, y-axis, bounce, approximation, orbits, latus rectum, physical world, mirror, principle.

Defination from the web:
parabola (pronounced /pəˈræbələ/, from the Greek παραβολή) is a conic section, the intersection of a right circular conical ... The focus–directrix property of the parabola and other conics is due to Pappus. ...