Study Hub

Study Guides

This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.

Back to Study HubBrowse Year 11 Maths Guides

Year 11 - Maths

Problem solving with graph transformations

Transformations of graphs

Unit Summary

In this unit pupils learn how to perform transformations on functions both algebraically and visually.

Lesson Summary

You will learn to use your knowledge of graph transformations to solve problems.

Key Notes

  • Your knowledge of identifying transformations of shapes can be applied to graphs
  • This allows you to identify what transformations have taken place
  • Once the transformations have been identified, you can write this in function notation

Vocabulary To Learn

  • Transformation: A transformation is a process that may change the size, orientation or position of a shape or graph.

Common Mistakes To Avoid

  • Pupils may not see the link between transformations and manipulating algebraic expressions.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

Your knowledge of identifying transformations of shapes can be applied to graphs. This allows you to identify what transformations have taken place.

2. Use this key word in a maths sentence and explain it clearly. 'Transformation'

A transformation is a process that may change the size, orientation or position of a shape or graph. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils may not see the link between transformations and manipulating algebraic expressions. Correction: Be explicit in highlighting that the graph of $$y=x^2+10x+22$$ is the graph of $$y=(x+5)^2-3$$ which is the graph of $$y=x^2$$ transformed by the translation, "$$5$$ units left, $$3$$ units down".

More Lessons In This Unit

Browse all guides in the Year 11 Maths guide library.