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Summary OCR MEI Mathematics: Year 1 (AS) Pure - Graphs and Transformations Cheat Sheet $3.86
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Summary

Summary OCR MEI Mathematics: Year 1 (AS) Pure - Graphs and Transformations Cheat Sheet

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This document briefly summarises the 'Graphs and Transformations' topic of the Year 1 (AS) Pure section of the OCR MEI Mathematics A Level Course.

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  • January 22, 2021
  • 2
  • 2020/2021
  • Summary

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By: tsmith3553 • 1 year ago

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Graphs and Transformations
Reciprocal Graphs




Courtesy of Lumen Learning

Points of Intersection
● Coordinates of POI satisfy the equations of both curves/lines
● Solve equations simultaneously to get coordinates of POI
● Mark on graph when sketching


Proportional Relationships
● If y is directly proportional to x then the relationship between y and x can be
expressed as y ∝ x or y = kx where k is a constant
● Graphs of proportional relationships are straight lines ​through the origin
● If y is inversely proportional to x then the relationship between y and x can
be expressed as y ∝ 1x or y = kx where k is a constant
● This means that as one quantity increases, the other decreases


Graph Translations
y = f (x) + a
● This is a translation of the graph y = f (x) by a units parallel to the y-axis
y = f (x − a)
● This is a translation of the graph y = f (x) by a units parallel to the x-axis
y = f (x − a) + b
● This is a translation of the graph y = f (x) by a units parallel to the x-axis
and b units parallel to the y-axis

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