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