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henpen
 3 years ago
Are all \[y= \frac{1}{x^{2n1}} \] hyperbolas?
henpen
 3 years ago
Are all \[y= \frac{1}{x^{2n1}} \] hyperbolas?

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asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.0I don't think so. I believe the name hyperbola is given only to one of the conic sections. It's equation can be written in one of these forms:\[\frac{x^2}{a^2}\frac{y^2}{b^2}=1\qquad\text{EastWest Hyprbola}\]\[\frac{y^2}{a^2}\frac{x^2}{b^2}=1\qquad\text{NorthSouth Hyprbola}\]\[xy=m\qquad\text{Rectangular Hyperbola}\]

henpen
 3 years ago
Best ResponseYou've already chosen the best response.0Thanks it seemed as if conicsectionswise http://en.wikipedia.org/wiki/File:Hyperbola_(PSF).png the higher powers corresponded to moving the slicer to the right.
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