Combinations of Transformations (AQA A-Level Mathematics): Flashcards

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Combinations of Transformations
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Outside transformation rule

Does what it says to yy-values

Inside transformation rule

Does opposite to xx-values

f(x+2)f(x+2) moves graph...

2 units left, translation (2,0)(-2,0)

f(x)+6f(x)+6 moves graph...

6 units up, translation (0,6)(0,6)

f(x)f(-x) reflection axis

yy-axis

f(x)-f(x) reflection axis

xx-axis

3f(x)3f(x) transformation description

Stretch SF 3 parallel to yy-axis

f(6x)f(6x) transformation description

Stretch SF 1/61/6 parallel to xx-axis

Order of transformations: same direction

Order matters

Order of transformations: different directions

Order doesn't matter (independent)

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