Maths Resources GCSE Worksheets


Transformations Of Graphs Worksheet

Transformations Of Graphs Worksheet

Help your students prepare for their Maths GCSE with this free transformations of graphs worksheet of 30+ questions and answers

  • Section 1 of the transformations of graphs worksheet contains 20+ skills-based transformations of graphs questions, in 3 groups to support differentiation
  • Section 2 contains 3 applied transformations of graphs questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 3 foundation and higher level GCSE exam style questions on transformations of graphs 
  • Answers and a mark scheme for all transformations of graphs questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Transformations of graphs at a glance


Graph transformations are transformations that can be applied to graphs of functions. In GCSE maths, we study reflections and translations of graphs. Transforming a graph affects the equation of the graph in a specific way that we need to learn. If we start with the graph with equation y=f(x), then:


y=f(x)+a is a translation of a units in the y direction (vertical translation)

y=f(x+a) ia a translation of -a in the x direction (horizontal translation)

y=-f(x) is a reflection in the x axis

y=f(-x) is a reflection in the y axis


In GCSE maths, you may be asked to sketch a graph after identifying the transformation from the equation, or to write the equation after identifying the transformation. You may also be asked to write down the new coordinates of a certain point on the graph, for example the new coordinates of the minimum point or maximum point (also called the turning points) of the graph. 


Graph transformations are studied further in A Level maths and enlargements of graphs (called stretches) are introduced.


Looking forward, students can then progress to additional interpreting graphs worksheets and other algebra worksheets, for example a sequences worksheet, simultaneous equations worksheet or straight line graphs worksheet.




For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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