9–26 Graphing Hyperbolas An equation of a hyperbola is given. (a) Find the vertices, foci, and asymptotes of the hyperbola. (b) Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.
The vertices, foci, and asymptotes of the hyperbola.
The equation of a hyperbola is
For a hyperbola with vertical transverse axis
The vertices are .
The foci are ,
The asymptotes are
The standard form of given hyperbola is obtained as follows.
This gives ,
The length of transverse axis of the hyperbola
The graph of the hyperbola
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