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The given equation is in xy - plane. It is a Parabola with horizontal axis of symmetry and vertex in the origin. Each and every point of the parabola must satisfy this relation. Also, parametric equations represent each point of the parabola as a function of parameter 't'. Last updated on Mar 31, In this year's recruitment cycle, a total of vacancies were released. This is a golden opportunity for those candidates who want to get into the teaching profession in the state of Uttar Pradesh.

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A parabola is a graph of a quadratic function. Pascal stated that a parabola is a projection of a circle. Galileo explained that projectiles falling under the effect of uniform gravity follow a path called a parabolic path. Many physical motions of bodies follow a curvilinear path which is in the shape of a parabola. In mathematics, any plane curve which is mirror-symmetrical and usually of approximately U shape is called a parabola. 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. A parabola refers to an equation of a curve, such that each point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the "focus" of the parabola, and the fixed line is called the "directrix" of the parabola. Also, an important point to note is that the fixed point does not lie on the fixed line. Thus, a parabola is mathematically defined as follows:. Parabola is an important curve of the conic sections of the coordinate geometry. Here are the formulas to find the equation of the axis, directrix, vertex, focus, and length of the latus rectum of different types of parabolas. The four standard forms are based on the axis and the orientation of the parabola.

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Additional Information :. The latus rectum is a line which passes through the focus and is parallel to the directrix. Last updated on Feb 5, Get Started. SSC Exams.

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point known as the focus and from a fixed straight line, which is known as the directrix. Parabola is an integral part of the conic section topic, and all its concepts are covered here. Table of Content. The section of a right circular cone by a plane parallel to a generator of the cone is a parabola. It is a locus of a point, which moves so that the distance from a fixed point focus is equal to the distance from a fixed line directrix. In general, if the directrix is parallel to the y-axis in the standard equation of a parabola is given as. If the parabola is sideways, i. Thus, the four equations of a parabola are given as. Below is the derivation for the parabola equation.

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The equation representing a parabolic function is a quadratic equation with a second degree in x. Let us learn more about the parabolic function, graph of a parabolic function, properties of parabolic function with the help of examples, FAQs. It is a quadratic expression in the second degree in x. The parabolic function has a graph similar to the parabola and hence the function is named a parabolic function. The parabolic function has the same range value for two different domain values.

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MBA Entrance Exam. This is a golden opportunity for those candidates who want to get into the teaching profession in the state of Uttar Pradesh. Haryana B. Here we consider a point B on the directrix, and the perpendicular distance PB is taken for calculations. Karnataka PDO. SSB Head Constable. SSB Constable. Nainital Bank PO. Start Now. Bihar Police Prohibition Constable. Manipur PSC. Due to the sun, a 6ft man casts a shadow of 4ft, whereas a pole next to the man casts a shadow of 36ft. MP Patwari.

A parabola is a graph of a quadratic function. Pascal stated that a parabola is a projection of a circle.

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