Date: Mar 5, 2013 11:36 PM
Subject: Re: Parabola vs Hyperbola
A parabola is a conic section that is created when a plane intersects with a cone. Parabolae or parabolas form ?from the intersection of a right circular conical surface and a plane parallel to a generating straight line of that surface.? Another way a parabola is created is when a locus of points on a plane that are equidistant from the focus and the directrix create a parabola. In algebra, parabolas are commonly used in graphs of quadratic functions, using the formula y=x^2.
While coming to the case of Hyperbola, a hyperbola is known to have branches that are mirror images to each other and resemble two infinite bows. The points on the two branches that are closest to each other are called the vertices. The line that connects the vertices is known as the transverse axis or major axis, which corresponds to the major diameter of an ellipse. The midpoint of a transverse axis is known as the hyperbola?s center. The equation of a hyperbola is written as x2/a2- y2/b2= 1.
The major difference between these is that the parabola is a conic section that is created when a plane cuts a conical surface parallel to the side of the cone. A hyperbola is created when a plane cuts a conical surface parallel to the axis.
is a circle, centered at (0,0) with a radius of 5 This is called a hyperbola.
It kind of looks like two parabolas back to back.It is actually more like an outward reflection of the circle.