The transformation maps to where and . If the image curve has equation , what was the equation of the original curve?

Answer and explanation

Correct answer: A.

  1. Step 1: Replace and in : .
  2. Step 2: Subtract 4: .
  3. Step 3: Divide by : .
Answer
.
Why not the others: The option with changes the sign inside the bracket; applies the transformation instead of undoing it; the option ending in has the wrong sign on the constant.

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