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GraphsIntroduction

Moving and Stretching Graphs

Part of Graph Transformations — GCSE Mathematics

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 3 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 1 of 3

Practice

14 questions

Recall

1 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.
Graph transformations diagram

Keep building this topic

Read this section alongside the surrounding pages in Graph Transformations. That gives you the full topic sequence instead of a single isolated revision point.

Transformation Rules (THE Table!)Worked Examples

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?

  • A. Translation 3 units to the right
  • B. Translation 3 units upwards
  • C. Stretch by scale factor 3 parallel to the y-axis
  • D. Translation 3 units to the left
1 markfoundation

Describe fully each of the following transformations of y = f(x): (a) y = 3f(x) (b) y = f(2x) (c) y = f(x) - 5

3 marksstandard

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)

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Transformation Rules (THE Table!)