Which equation is the inverse of 2 times open paren x minus 2 close paren squared is equal to 8 times open paren 7 plus y close paren ?

To find the inverse, switch x and y in the original equation: 2(y − 2)² = 8(7 + x). Divide both sides by 2 to get (y − 2)² = 4(7 + x) = 28 + 4x. Taking the square root gives y − 2 = ±√(28 + 4x), so y = 2 ± √(28 + 4x). This is choice B.

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