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It depends where the centre of enlargement (dilation) was; it can be any value.

As all you have given us is the change in the coordinate of the A vertex, so all we can conclude is that the centre of enlargement is somewhere along the line y + 2x = 0.

Examples:

  • If the centre is at (3, -6) then the scale factor is -6
  • If the centre is at (0.5, -1) then the scale factor is -1
  • If the centre is at (0, 0) then the scale factor is -3/4
  • If the centre is at (-3, 6) then the scale factor is 0
  • If the centre is at (-4, 8) then the scale factor is 1/8
  • If the centre is at (-10, 20) then the scale factor is 1/2
  • If the centre is at (11, -22) then the scale factor is 2
  • If the centre is at (1.4, -2.8) then the scale factor is 6

(As the centre tends towards ±∞ the scale factor tends towards 1 [from below towards -∞, from above towards +∞].)

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7y ago
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7y ago

It was -3/4.

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Q: A triangle with a vertex at A(4 -8) is dilated so that A' has coordinates (-3 6). The scale factor used was?
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