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PAGE: 451 | SET: Exercises | PROBLEM: 67 |

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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