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Dilations and transformations on a grid

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Learn it A dilation centred at the origin with scale factor k multiplies both coordinates by k. k > 1 enlarges, 0 < k < 1 shrinks. Do combined transformations one at a time, in order.

Example: Dilate (−4, 6) by a scale factor of 1.5.

  1. Multiply each coordinate by 1.5.
  2. $-4 \times 1.5 = -6$ and $6 \times 1.5 = 9$.
  3. Image: (−6, 9).

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