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.
Moving and Stretching Graphs
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.
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)