Help your students prepare for their Maths GCSE with this free transformations of graphs worksheet of 30+ questions and answers
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.
There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.
Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.