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Describe in words a sequence of transformations that maps A. (-3,4) B. (-3, 0) C. (-1, 3) to A'. (5, 4) B'. (1, 4) C'. (4, 2).

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Final answer:

To map points A (-3, 4), B (-3, 0), and C (-1, 3) to points A' (5, 4), B' (1, 4), and C' (4, 2), you can use a combination of translations and reflections.

Step-by-step explanation:

To map points A (-3, 4), B (-3, 0), and C (-1, 3) to points A' (5, 4), B' (1, 4), and C' (4, 2), we can use a combination of translations and reflections. Here's a step-by-step description:

  1. Translate point A to point A' by moving 8 units to the right (x-axis translation).
  2. Translate point B to point B' by moving 3 units to the right (x-axis translation) and 4 units up (y-axis translation).
  3. Reflect point C across the y-axis to get point C'.

This sequence of transformations maps points A, B, and C to points A', B', and C' as desired.

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