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  1. Parabola - Wikipedia

    The parabola is a member of the family of conic sections. In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially …

  2. Parabola - Math is Fun

    Definition A parabola is a curve where any point is at an equal distance from: a fixed point (the focus), and a fixed straight line (the directrix)

  3. Parabola - Formula, Graphing, Examples | Parabola Equation

    A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point and a fixed line. Its general equation is of the form y^2 = 4ax (if it opens left/right) or …

  4. What are parabolas, their equations, their rules? | Purplemath

    What is a parabola? A parabola is a particular type of geometrical curve which, algebraically, corresponds to a quadratic equation. In geometrical terms, the parabola corresponds to the …

  5. Parabola | Definition, Origin, Equation, & Applications | Britannica

    Oct 30, 2025 · The parabola is an open curve that is a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone.

  6. 12.3: The Parabola - Mathematics LibreTexts

    Dec 26, 2024 · A parabola is the set of all points (x, y) in a plane that are the same distance from a fixed line, called the directrix, and a fixed point (the focus) not on the directrix.

  7. Parabolas intro (video) | Intro to parabolas | Khan Academy

    Graphs of quadratic functions all have the same shape which we call "parabola." All parabolas have shared characteristics. For example, they are all symmetric about a line that passes …

  8. Parabola - Definition and Equation - Basic-mathematics.com

    By definition, a parabola is the set of all points (x,y) in a plane that are the same distance from a fixed line and a fixed point not on the line. The fixed point is the focus and the fixed line is the …

  9. Parabola - Definition, Equations, Examples, & Diagrams

    Nov 25, 2024 · What is a parabola in mathematics with examples, real-life applications, and diagrams. Also, learn its formula in different forms and how to fnd them.

  10. Parabola - Math.net

    A parabola is formed by the set of all points that are equidistant from the focus and directrix. Note that the focus is always inside of the parabola and on the axis of symmetry.