Determining Transformations (VCE SSCE Mathematical Methods): Flashcards

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Determining transformations
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Determining transformations

Working backwards from transformed graph to find transformation

Reverse method

Working backwards through transformation steps

Dilation from x-axis

Changes yy-coordinates; xx-coordinates unchanged

Dilation from y-axis

Changes xx-coordinates; yy-coordinates unchanged

Translation

Shifts graph horizontally/vertically without changing shape

Image

Result of applying transformation to original graph

Transformations between two graphs

Infinitely many possible

Effect of transformation order

Sequence affects final result

First step in reverse method

Rearrange image equation to match original form

Transformation sequence notation

(x,y)......(x, y) \to ... \to ...

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