What are the vertices of the hyperbola whose equation is the fraction with numerator open paren x plus 7 close paren squared and denominator 25 minus the fraction with numerator open paren y minus 8 close paren squared and denominator 36 is equal to 1 ?

The equation is in the standard form of a horizontal hyperbola: (x + 7)²/25 − (y − 8)²/36 = 1. Its center is (−7, 8), and the horizontal distance from the center to each vertex is √25 = 5. Moving 5 units left and right gives the vertices (−12, 8) and (−2, 8), which matches choice A.

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