What is the directrix of a parabola?
A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola, and the line is called the directrix . The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.
What is parabolic equation?
For a parabola whose axis is the x-axis and with vertex at the origin, the equation is y2= 2px, in which p is the distance between the directrix and the focus.
What is a parabola in simple terms?
1 : a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line : the intersection of a right circular cone with a plane parallel to an element of the cone. 2 : something bowl-shaped (such as an antenna or microphone reflector)
What is meant by parabolic curve?
Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. The vertex of the parabola is the point on the curve that is closest to the directrix; it is equidistant from the directrix and the focus.
What is the P value of a parabola?
The key is the P value. If the parabola is f(x) = a ( x – v)2 +h, the P value is P = 1/(4a). The P value is both the distance from the vertex (v,h) to the focus and the distance from the vertex to the directrix.
Where is the focus and directrix?
A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix. The focus lies on the axis of symmetry of the parabola.
What is parabolic problem?
For a nonlinear parabolic PDE, a solution of an initial/boundary-value problem might explode in a singularity within a finite amount of time. It can be difficult to determine whether a solution exists for all time, or to understand the singularities that do arise.
What is special about a parabola?
A parabola is a continuous curve that looks like an open bowl where the sides keep going up infinitely. One mathematical definition of a parabola is the set of points that are all the same distance from a fixed point called the focus and a line called the directrix.
What is the meaning of the word Parabole?
Strong’s Concordance parabole: a parable, comparison Original Word: παραβολή, ῆς, ἡ Part of Speech: Noun, Feminine Transliteration: parabole Phonetic Spelling: (par-ab-ol-ay’) Definition: to expose oneself to danger Usage: (a) a comparison, (b) a parable, often of those uttered by our Lord, (c) a proverb, an adage. HELPS Word-studies
How is the word parabola used in a sentence?
Use parabola in a sentence. The architectural structure of the Umbracle in Valencia, Spain is an example of a parabola. parabola Any point on a parabola is the same distance from the directrix as it is from the focus (F).
What does 3850 Parabole mean in Greek dictionary?
3850 parabolḗ (from 3844 /pará, “close beside, with” and 906 /bállō, “to cast”) – a parable; a teaching aid cast alongside the truth being taught. This casts additional light by using an arresting or familiar analogy, (which is often fictitious or metaphorical, but not necessarily).
Which is the foot of the parabola in the diagram?
In the diagram above, the point V is the foot of the perpendicular from the vertex of the parabola to the axis of the cone. The point F is the foot of the perpendicular from the point V to the plane of the parabola. By symmetry, F is on the axis of symmetry of the parabola.
