If you know what y = x² looks like, what about y = (x + 3)² or y = 2x²? These are the same curve, just moved or stretched! Understanding transformations means you can sketch any related graph instantly.
This introduction covers Moving and Stretching Graphs within Graph Transformations for GCSE Mathematics. Revise Graph Transformations in Graphs for GCSE Mathematics with 14 exam-style questions and 1 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 1 of 4 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.
Practice questions for Graph Transformations
The graph of y = f(x) is transformed to y = f(x) + 3. Which of the following describes this transformation?
Describe fully each of the following transformations of y = f(x): (a) y = 3f(x) (b) y = f(2x) (c) y = f(x) - 5
Quick recall flashcards
f(x + a) vs f(x) + a
f(x + a) = LEFT by a (inside, opposite). f(x) + a = UP by a (outside, same direction)