What is the center of the hyperbola whose equation is the fraction with numerator open paren y plus 3 close paren squared and denominator 81 minus the fraction with numerator open paren x minus 6 close paren squared and denominator 89 is equal to 1 ?

A hyperbola in standard form is centered at (h, k), where the squared terms are (x − h)² and (y − k)². Here, (x − 6)² gives h = 6, and (y + 3)² = (y − (−3))² gives k = −3. The center is (6, −3), choice C.

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