Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?
d. y=+or-sqrt28+4x so the answer is d.

"The given expression is 
2(x - 2)² = 8(7 + y)
Rewrite the expression as follows:
7 + y = (2/8)*(x-2)² = (1/4)*(x-2)²
y = (1/4)(x-2)² - 7

To find the inverse, switch x and y, and solve for y.
x = (1/4)(y-2)² - 7
Multiply through by 4.
4x = (y-2)² - 28
(y-2)² = 4x + 28
y - 2 = √(4x + 28)
y = 2 +/- √(4x + 28)
This expression is the inverse of the given expression.
Therefore the answer is D."

By Dzampo