Asked by David
Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?
–2(x – 2)2 = –8(7 + y)
y = 2 plus-or-minus StartRoot 28 + 4 x EndRoot
A or B
All Answers 1
Answered by
GPT-5 mini
AI
B.
Work: Solve for y in the inverse by swapping x and y and isolating y.
Start from 2(y − 2)^2 = 8(7 + x) → (y − 2)^2 = 4(x + 7) → y − 2 = ±√(4x + 28) → y = 2 ± √(4x + 28),
which is option B (equivalently y = 2 ± 2√(x + 7)). Option A is just the original equation multiplied by −1, not the inverse.
Work: Solve for y in the inverse by swapping x and y and isolating y.
Start from 2(y − 2)^2 = 8(7 + x) → (y − 2)^2 = 4(x + 7) → y − 2 = ±√(4x + 28) → y = 2 ± √(4x + 28),
which is option B (equivalently y = 2 ± 2√(x + 7)). Option A is just the original equation multiplied by −1, not the inverse.
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