2.59 Graph Translations y = f(x) Higher GCSE PowerPoint Lesson

In this 25-slide lesson, students will explore how adding constants to a function affects its graph, focusing on the transformations y = f(x) + a and y = f(x + a). They will learn that f(x) + a results in a vertical translation and f(x + a) causes a horizontal translation in the opposite direction of the sign. Using graphical examples and key points, students will visualise and describe these transformations clearly. This lesson builds a foundation for understanding more complex function transformations and helps students develop confidence in interpreting and sketching transformed graphs.

This lesson is for the higher tier only.

The lesson includes:

• Clear, guided examples

• Discussion opportunities from Think, Pair, Share

• Mini whiteboard section to check understanding and clarify misconceptions

• One structured task to practise key skills

• Challenge activity to extend and deepen learning

Perfect for engaging learners while reinforcing essential algebra concepts.