The graph of a hyperbola is not continuous--every hyperbola has two distinct branches. The line segment containing both foci of a hyperbola whose endpoints are both on the hyperbola is called the transverse axis.
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The curve, therefore, lies entirely beyond the two lines x = ± a and crosses the X axis at V1 (a,0) and V2( - a,0), the vertices of the hyperbola. ... This equation represents a hyperbola with its transverse axis on the Y axis. Its asymptotes are the lines by - ax = 0 and by +ax=0 or...
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Hyperbola - Wikipedia, the free encyclopedia
In mathematics a hyperbola is a smooth planar curve having two connected components or branches, each a mirror image of the other and resembling two infinite bows. The hyperbola is traditionally des...
en.wikipedia.org/wiki/Hyperbola
Transverse axis - Wikipedia, the free encyclopedia
Transverse axis refers to an axis which is transverse (side to side, relative to some defined "forward" direction). In particular: • Transverse axis (aircraft) • For a hyperbola the transverse axis i...
en.wikipedia.org/wiki/Transverse_axis
The line segment which ends at these vertices is called the transverse axis and the midpoint of this line is called the center of the hyperbola. ...
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Transverse Axis; Definition of Transverse Axis ... The segment of length 2a whose endpoints are the vertices of a hyperbola. (same definition) ... Solved Example on Transverse Axis...
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Note that each focus is found horizontally from the center since in this case the transverse axis of the hyperbola is horizontal. A graph from a calculator screen is shown below with the branches of the hyperbola wrapping around each focus.
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School Subjects question: The length of a hyperbola's transverse axis is equal to the the distances from any point on the hyperbola to each focus? difference between ... The length of a hyperbola's transverse axis is equal to the? What is The hyperbola's point halfway between its two vertices? Where is the transverse axis...
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- Find Center, Vertices, Foci, Transverse Axis, Conjugate Axis, Asymptotes, Equation Standard Form; - Complete the Square; = Graph the Hyperbola step-by-step.
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presents the conjugate hyperbola of (1). Its transverse axis is the conjugate axis of (1) and its conjugate axis the transverse axis of (1). Both hyperbolas are conjugate hyperbolas of each other. They have the common asymptotes...
planetmath.org/encyclopedia/ConjugateAxis.html planetmath.org/encyclopedia/ConjugateAxis.html