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 different …

Here we shall aim at understanding the derivation of the standard formula of a parabola, the different equations of a parabola, and the properties of a parabola.

So the parabola is a conic section (a section of a cone). The simplest equation for a parabola is y = x2. Turned on its side it becomes y2 = x. (or y = √x for just the top half) A little more generally: where a is …

A parabola is a particular type of geometrical curve which, algebraically, corresponds to a quadratic equation. In geometrical terms, the parabola corresponds to the edge of slice of an inverted cone; …

Oct 30, 2025 · In more general cases, the equation of a parabola can be written as y = ax2 + bx + c, where a, b, and c are constants that determine the orientation, position, and shape of the parabola …

The parabola calculator finds the vertex form, focus and directrix of every parabola.

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 through their …