Graph Transformations (AQA GCSE Maths): Flashcards

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Graph transformations
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Function notation f(x)f(x) meaning

Shorthand way of referring to any function

Effect of y=f(x)+ay = f(x) + a when a>0a > 0

Graph moves up by aa units

Effect of y=f(x)+ay = f(x) + a when a<0a < 0

Graph moves down by aa units

Effect of y=f(xa)y = f(x - a) when a>0a > 0

Graph moves right by aa units

Effect of y=f(xa)y = f(x - a) when a<0a < 0

Graph moves left by aa units

Transformation form for reflection in x-axis

y=f(x)y = -f(x)

Transformation form for reflection in y-axis

y=f(x)y = f(-x)

Coordinate that changes in vertical translation

y-coordinate only (x stays same)

Coordinate that changes in horizontal translation

x-coordinate only (y stays same)

What's preserved in all graph transformations

The shape (only position/orientation changes)

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