SOLUTION: Find the equation of hyperbola given the conditions: Vertices: (13,0), (-1,0); asymptotes: y = x

SOLUTION: Find the equation of hyperbola given the conditions: Vertices: (13,0), (-1,0); asymptotes: y = x - 6 and y = -x + 6

Question 1198403: Find the equation of hyperbola given the conditions:
Vertices: (13,0), (-1,0); asymptotes: y = x - 6 and y = -x + 6
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The equation of a hyperbola is

, where (,) is the center, and are the lengths of the semi-major and the semi-minor axes.
given:
Vertices: (,), (,)
asymptotes: and
Vertices are at (,)
so,
....eq.1
.....eq.2
--------------------add

the center is at (,)
the

take into account different properties of a hyperbola:

the equation of hyperbola is:

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