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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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