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An equation of a hyperbola is given. x2 − 3y2 + 48 = 0 a) Find...

An equation of a hyperbola is given.

x2 − 3y2 + 48 = 0

a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.)

vertex (x, y) =

(smaller y-value)

 vertex (x, y) =
(larger y-value)		 focus (x, y) =
(smaller y-value)		 focus (x, y) =
(larger y-value)		 asymptotes     (

b) Determine the length of the transverse axis.
(c) Sketch a graph of the hyperbola.

Math   Precalculus   
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