Pure Mathematics Notes for Paper 1 syllabus code 9709 Cambridge assessment international education. Save my exams notes once off purchase. For the updated syllabus from 2023.
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1.5.1 Translations
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Translations
What are graph transformations?
When you alter a function in certain ways, the effects on the graph of the function can be
described by geometrical transformations
With a translation the shape, siz e, and orientation of the graph remain unchanged – the graph is
merely shifted (up or down, left or right) in the xy plane
A particular translation (how far left/right, how far up/down) is specified by a translation vector:
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What do I need to know about graph translations?
⎛⎜ 0 ⎞⎟
The graph of y = f (x ) + a is a vertical translation of the graph y = f (x ) by the vector ⎜⎜ ⎟⎟
⎝a ⎠
The graph moves up for positive values of a and down for negative values of a
The x-coordinates stay the same
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