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Year 11 - Maths

Transforming graphs: y = f(ax)

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 recognise the effect of applying the transformation y = f(ax) to a graph.

Key Notes

  • Desmos is an effective tool for showing the effects of this transformation
  • The actual function itself does not need to be known
  • The graph is stretched by a scale factor of 1/a in the x-direction

Vocabulary To Learn

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

Common Mistakes To Avoid

  • Pupils confuse 'stretch' transformations. Does the transformation $$y=$$f$$(ax)$$ affect the $$x$$ or $$y$$ coordinates?

3 Quick Questions (With Answers)

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

Desmos is an effective tool for showing the effects of this transformation. The actual function itself does not need to be known.

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. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils confuse 'stretch' transformations. Does the transformation $$y=$$f$$(ax)$$ affect the $$x$$ or $$y$$ coordinates? Correction: Interpreting the notation is key. $$y=$$f$$(ax)$$ is the input of f$$(x)$$ being multiplied by $$a$$. Which coordinate is the input?

More Lessons In This Unit

Browse all guides in the Year 11 Maths guide library.