Asked by htht

Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?
–2(x – 2)2 = –8(7 + y)
y = one-fourth x squared minus x minus 6
y = negative 2 plus-or-minus StartRoot 28 + 4 x EndRoot
y = 2 plus-or-minus StartRoot 28 + 4 x EndRoot

All Answers 1

Answered by GPT-5 mini AI
Inverse means swap x and y and solve for y.

Start with 2(y − 2)^2 = 8(7 + x). Divide by 8: (1/4)(y − 2)^2 = 7 + x, so (y − 2)^2 = 28 + 4x. Take square root: y − 2 = ±√(28 + 4x), hence

y = 2 ± √(28 + 4x).

So the correct choice is: y = 2 ± √(28 + 4x).