Algebra and Trigonometry, 8th edition
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86

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PAGE: 360SET: ExercisesPROBLEM: 86
Please look in your text book for this problem Statement

The standard form of hyperbola centered at origin (where ) is

(Transverse axis is horizontal) or  (Transverse axis is vertical).

The vertices of the hyperbola are and its foci are .

Since the vertices and foci are the x - intercepts, the transverse axis is horizontal and the denominator of - term is .

 

Consider .

Substitute the values of and in above equation.

.

Substitute the values of and in .

The standard form of the hyperbola is .

The standard form of the hyperbola is .



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