Graph Translations

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Description and Tags

the graph translationa and what they do to the co-ordinates GCSE maths

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6 Terms

1
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f(x) + d
vertical translation up d units
(x,y) -> (x,y+d)
2
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f(x) - d
vertical translation down d units
(x,y) -> (x,y-d)
3
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f(x+c)
horizontal translation left c units
(x,y) -> (x-c,y)
4
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f(x-c)
horizontal translation right c units
(x,y) -> (x+c,y)
5
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-f(x)
reflection over x axis
(x,y) -> (x,-y)
6
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f(-x)
reflection over y axis
(x,y) -> (-x,y)