Review of Translations and Reflections (HSC SSCE Mathematics Advanced): Flashcards

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Review of Translations and Reflections
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To shift graph hh units right, replace xx with

(x−h)(x - h)

To shift graph hh units left, replace xx with

(x+h)(x + h)

Function notation for shifting kk units up

y=f(x)+ky = f(x) + k

Function notation for shifting kk units down

y=f(x)−ky = f(x) - k

To reflect in y-axis, replace xx with

−x-x (or f(−x)f(-x))

Function notation for x-axis reflection

y=−f(x)y = -f(x)

Function notation for 180° rotation about origin

y=−f(−x)y = -f(-x)

Transformation method that works for any relation

Replacement method

Changes inside f()f() affect this direction

Horizontal

Property of circles preserved in transformations

Radius

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