Step-by-step Answer
PAGE: 451SET: ExercisesPROBLEM: 67
Please look in your text book for this problem Statement

Observe the graph:

The hyperbola is horizontal.

Standard form of hyperbola is , where is center.

Vertices: .

Foci: .

Asymptotes: .


The center of the hyperbola located at .

The vertices of the hyperbola is .

Therefore, and .

Find the value of .

The point is lies on the hyperbola.

By the definition of the hyperbola, the absolute value of the differences from any point on the hyperbola to the foci is constant.


Let and and .

Substitute the corresponding values in .

Square on both sides.

Divide each side by .

Square on both sides.



Substitute the values and in standard form.


The hyperbola equation is .


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