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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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