SOLUTION: Write an equation for the hyperbola with vertices (-10, 1) and (6,1) and foci (-12, 1) and (8,1).

Question 331973: Write an equation for the hyperbola with vertices (-10, 1) and (6,1) and foci (-12, 1) and (8,1).
Answer by galactus(183) (Show Source): You can put this solution on YOUR website!
The vertices are at (-10,1) and (6,1). Note, there is a distance of 16 units between them. This means the center of the hyperbola is 8 units from either one.
Namely, at (-2,1).
There is a distance of 10 units from the center to a focus. This is c.
There is a distance of 8 units from the center to a vertex. This is a.
b is the vertical distance up the conjugate axis forming the auxiliary rectangle.
Since , we have
So, and
The equation is:

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