Point A(2, 3) is translated by the vector v = (4, -5). Find the coordinates of image point A'.

Answer and explanation

Correct answer: B. (6, -2)

  1. Step 1: Translation adds the components of the displacement vector to the coordinates: (x + a, y + b). Step 2. A' = (2 + 4, 3 + (-5)) = (6, -2). Answer: (6, -2). Why not the others: (6, 8) adds 5 instead of subtracting; (-2, 8) subtracts 4 from 2; (2, -2) fails to translate x.

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