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 …

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 …

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)

Sep 20, 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.

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.

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 …

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 …

Oct 21, 2025 · Definition and Key Elements A parabola is a symmetrical curve that is defined as the set of all points that are equidistant from a fixed point (the focus) and a fixed straight line …

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.

When given a standard equation for a parabola centered at the origin, we can easily identify the key features to graph the parabola. A line is said to be tangent to a curve if it intersects the …