Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (–10, 6), (4, 6).

Step-by-step explanation:

The standard equation of a horizontal hyperbola with center (h,k) is

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is .

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is

We need to use the relation to find .

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

We substitute these values into the standard equation of the hyperbola to obtain:

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step-by-step explanation:

answer: h

step-by-step explanation: