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Math Tutorial 15.7 - Transforming Graphs

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There are 3 lessons in this math tutorial covering Transforming Graphs. The tutorial starts with an introduction to Transforming Graphs and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Transforming Graphs. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What is a parent function?
  • What is a graph transformation?
  • What are graph translations?
  • How many translations are there?
  • What are the conditions for each type of translation?
  • What are the rules applied in horizontal translations of graphs?
  • How to make combined translations of graphs?
  • The same for vertical translations.
  • What are reflections in graphs?
  • How many reflections are there?
  • What are the conditions for each type of reflection?
  • How to make combined reflections of graphs?

Introduction

Do you remember what the parent function is? Why is it useful?

Take the graph of the parent quadratic function and move it 4 units due right. Write the formula of the new function using the methods described in the previous tutorials.

Now move the graph of the parent quadratic function 3 units down. What is the formula of the new function obtained?

In this tutorial, you will learn about some types of graph transformations. This allows finding the formula of functions of the same family by considering the changes made to the parent function.

Please select a specific "Transforming Graphs" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Types of Graphs Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
15.7Transforming Graphs
Lesson IDMath Lesson TitleLessonVideo
Lesson
15.7.1Recalling the Concept of Parent Function
15.7.2Transforming Graphs using the Parent Function Graph: Translations
15.7.3Transforming Graphs using the Parent Function Graph: Reflections

Other Types of Graphs Transformation

There are other types of graph transformations besides those discussed in this tutorial. For example, a graph may increase (enlargement) or reduce (diminution) in size. We discuss this transformation in the Math Vectors Tutorials and Lessons.

Another type of graphs' transformation is the rotation at a given angle in respect to the original graph. This graph transformation is explained in the chapters including and following Math Trigonometry Tutorials and Lessons.

Whats next?

Enjoy the "Transforming Graphs" math tutorial? People who liked the "Transforming Graphs" tutorial found the following resources useful:

  1. Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
  2. Types of Graphs Revision Notes: Transforming Graphs. Print the notes so you can revise the key points covered in the math tutorial for Transforming Graphs
  3. Types of Graphs Practice Questions: Transforming Graphs. Test and improve your knowledge of Transforming Graphs with example questins and answers
  4. Check your calculations for Types of Graphs questions with our excellent Types of Graphs calculators which contain full equations and calculations clearly displayed line by line. See the Types of Graphs Calculators by iCalculator™ below.
  5. Continuing learning types of graphs - read our next math tutorial: Gradient of Curves

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