Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?

options:
–2(x – 2)^2 = –8(7 + y)
y= 1/4 x^2 -x -6
y= -2 +/- sqrt of 28+4x
y= 2 +/- sqrt of 28+4x

i'm leaning towards the 4th choice

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.

 

You have to give us options