What is the symmetry axis of a hyperbola and how can it be calculated?

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How do I calculate the symmetry axis of a Hyperbole ?

Is there a formula? If the Hyperbole is formula :

f(x) = a/(x-p) +q
 
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Memorizing equations is a mistake.
Use the definition of "symmetry axis" and your knowledge of geometry.
What parts of the hyperbola do you know how to find?
What relationship does the symmetry axis bear to those things?

http://www.purplemath.com/modules/conics.htm
http://en.wikipedia.org/wiki/Conic_sectionNiggle: plural of "hyperbola" is "hyperbolae"
An "hyperbole" is the use of exaggeration as a rhetorical device.
"the symmetry axis of exaggeration" would be a good title for an artsy novel or a poem ;)
 
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