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\nGiven the center, b and eccentricity find the equation of a hyperbola\n

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\n\nPublisher:\n\nBrian McLogan\n\n\n
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\nLearn 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...\nLearn 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 - (x - h)^2 / b^2 = 1 for vertical hyperbola. The center of the hyperbola is given by (h, k). It is halfway between the two vertices and halfway between the two foci. 'a' is the distance from the center to the vertices and 'b' is the distance from the center to the covertices. 'c' is the distance from the center to the foci. The relationship between a, b and c is a^2 + b^2 = c^2. Using these characteristics of the hyperbola, we can then plug them into the standard equation to obtain the equation of the given hyperbola. When the eccentricity is given, note that eccentricity (e) is given by c / a. Thus, the values of 'a' and 'c' and by the pythagoras theorem 'b' can be obtained from the eccentricity. Note that a hyperbola is vertical when it is facing up and down and is horizontal when it is facing right and left. When a hyperbola is vertical, the vertices and the foci are in the y-axis but they are in the x-axis when the hyperbola is horizontal.\n
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Resource Details

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Educator Rating
Not yet Rated
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Media Length
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1:45
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Grade
12th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nBrian McLogan\n\n
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Date
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2016
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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vertex, center, vertices, asymptotes, plot, vertical, major axis, foci, graphing, conic sections
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math, maths, how to, learn, help me with math, conics, focus, directrix, co-vertices, transverse axis, conic, section, graph, write, classify, given eccentricity find the equation of a hyperbola, eccentricity, free math videos, brian mclogan, find the equation of a hyperbola, write the equation of hyperbola, vertical focal axis, plot the information, what is eccentricity, writing hyperbola equations, math help, guys make, problem, origin, squared
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Best For: Explaining a topic
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