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Transformation 2: Dilation

3.2 Transformation 2: Dilation

Dilation

  • Dilation is a type of transformation. A translation is simply a ‘stretch’ or a ‘shrink’. The direction is important too, hence it can be a stretch along the x- and/or y-axis.
  • ‘A dilation of factor h from the x-axis and of factor k from the y-axis’, where h and k are positive numbers, is described by the rule

(x,\ y) \rightarrow(k x,\ h y)

Note: Notice the positions of and and their corresponding axis in the description.

  • If a function initially is y=f(x), the new function under the translation as described above is
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