Brian McLogan
Steps to classify conic sections
Learn how to classify conic sections. A conic section is a figure formed by the intersection of a plane and a cone. A conic section may be a circle, an ellipse, a parabola, or a hyperbola. The general equation of a conic section is given...
Brian McLogan
how to sketch the graph of a hyperbola in conic sections
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
how to determine the foci and vertices of a hyperbola
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
Conics what is the formula for a circle
Learn all about the definition and formula that makes up a circle. Understanding the basics of circles will help us graph and write the equation of circles to solve future problems in conic sections. A circle has a center (h,k) and...
Brian McLogan
Given vertices and asymptotes, write the equation of the hyperbola
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Brian McLogan
Learn how to classify conic sections
Learn how to classify conic sections. A conic section is a figure formed by the intersection of a plane and a cone. A conic section may be a circle, an ellipse, a parabola, or a hyperbola. The general equation of a conic section is given...
Brian McLogan
what is the formula's for the asymptotes of a hyperbola
Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two...
Brian McLogan
Conics - Find the formula for a hyperbola
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Brian McLogan
What is the definition of a hyperbola
Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two...
Brian McLogan
Finding the vertices, foci and asymptotes of a hyperbola
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Professor Dave Explains
Hyperbolic Functions: Definitions, Identities, Derivatives, and Inverses
An introduction to hyperbolic functions.
Getty Images
RED CIRCLES: FOUR HYPERBOLIC ORBITS - white background. (loop)
RED CIRCLES: FOUR HYPERBOLIC ORBITS - white background. (loop)
Getty Images
RED CIRCLES: TWO HYPERBOLIC ORBITS - white background. (loop)
RED CIRCLES: TWO HYPERBOLIC ORBITS - white background. (loop)
Getty Images
RED CIRCLES: EIGHT HYPERBOLIC ORBITS - white background. (loop)
RED CIRCLES: EIGHT HYPERBOLIC ORBITS - white background. (loop)
Getty Images
RED CIRCLES: EIGHT SPIRRALY HYPERBOLIC ORBITS - white background. (loop)
RED CIRCLES: EIGHT SPIRRALY HYPERBOLIC ORBITS - white background. (loop)
Khan Academy
Khan Academy: Algebra: Conic Sections: Iit Jee Circle Hyperbola Common Tangent 2
The second video dedicated to solving an IIT JEE problem concerning a tangent line that is common to both a circle and a hyperbola. This video uses algebra to determine where the arbitrary line y = mx + b could intersect the given circle...
Khan Academy
Khan Academy: Algebra: Conic Sections: Iit Jee Circle Hyperbola Intersection
An instructional video that presents the solution to an IIT JEE problem about the intersection points of a circle and a hyperbola. Students must find the intersection points and then determine the equation for a circle whose diameter is...
Khan Academy
Khan Academy: Algebra: Conic Sections: Tangent Line Hyperbola Relationship
A video lesson showing the algebraic relationship between the equation of an arbitrary hyperbola and its arbitrary tangent line. [10:04]
Khan Academy
Khan Academy: Algebra: Conic Sections: Iit Jee Circle Hyperbola Common Tangent 4
The fourth of five videos on solving an IIT JEE problem concerning a tangent line that is common both to a circle and a hyperbola. This video combines equations from both the second and third videos to form a system of two equations in...
Khan Academy
Khan Academy: Algebra: Conic Sections: Hyperbolas 2
An instructional video in which a specific hyperbola equation is given. The lesson shows students how to find the asymptotes and sketch a graph. Includes a link to practice problems above the video. [7:29]
Khan Academy
Khan Academy: Algebra: Conic Sections: Proof: Hyperbola Foci
A video lesson giving an algebraic proof of the formula for the foci of a hyperbola. [14:50]
Khan Academy
Khan Academy: Algebra: Conic Sections: Hyperbolas 3
An instructional video that teaches students how to graph a hyperbola that is not centered at the origin. The equation is given in standard form, the asymptotes are determined, and the graph is sketched. Includes a link to practice...