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Summary

Summary Grade 11 Functions (MCR3U) - Transformations and graphs

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These notes cover transformations and graphing in Grade 12 Functions in a clear, organized, and easy-to-understand format. Contents include: • Key concepts and definitions • The transformation formula explained • Vertical and horizontal shifts • Reflections and stretches/compressions • Step-by-step solved examples • Common mistakes students make • Quick revision summary for tests and exams Course: Grade 11 Functions Subject: Mathematics Created for students who want simplified explanations and structured notes to prepare for quizzes, tests, assignments, and exams.

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Institution
11th Grade
Course
MCR3U1

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Grade 11 Functions - Transformations &
Graphing of quadratic functions
Step-by-Step Explanations, Solved Examples

Table of Contents
●​ Key Concepts
●​ Transformation formula
●​ Types of Transformations
●​ Solved examples and graphs
Key Concepts
A function transformation changes the position or shape of the graph.

There are 4 main types of transformations:
●​ Vertical Translation (up and down)
●​ Horizontal Translation (left and right)
●​ Reflection (flipping the graph)
●​ Stretch/Compression (changing the width or height)

Formula​

y= af[k(x-p)]+q

Where,
a= vertical stretch or reflection
k= horizontal stretch or reflection
p= horizontal shift
q= vertical shift
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Secondary school
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11th Grade
Course
MCR3U1
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1

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Uploaded on
May 9, 2026
Number of pages
3
Written in
2025/2026
Type
SUMMARY

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