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Year 11 - Maths

Transforming graphs: y = f(x) + a

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(x) + a 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 of the function is transformed by a vertical translation

Vocabulary To Learn

  • Function: A function is a mathematical relationship that uniquely maps values of one set to the values of another set.
  • 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 vertical translation depending on the function used to show the effect of $$a$$.

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. 'Function'

A function is a mathematical relationship that uniquely maps values of one set to the values of another set. 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 vertical translation depending on the function used to show the effect of $$a$$. Correction: Ensure pupils consider a range of functions so that they can see the movement of the graph.

More Lessons In This Unit

Browse all guides in the Year 11 Maths guide library.