This deep dive covers Transformations of y = x² within Quadratic Graphs for GCSE Mathematics. Revise Quadratic Graphs in Graphs for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 8 of 10 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 8 of 10
Practice
14 questions
Recall
12 flashcards
Transformations of y = x²
| Equation | Transformation | Effect on Graph |
|---|---|---|
| y = x² + k | Vertical translation | Move up k units (down if k < 0) |
| y = (x - h)² | Horizontal translation | Move right h units (left if h < 0) |
| y = ax² | Vertical stretch/compression | Stretch by factor |a|, reflect if a < 0 |
| y = (x - h)² + k | Combined translation | Vertex moves to (h, k) |
Keep building this topic
Read this section alongside the surrounding pages in Quadratic Graphs. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Quadratic Graphs
The quadratic y = -3x² + 2x - 1 has a negative coefficient of x². What shape does this parabola make?
Explain how the sign of the coefficient a in y = ax² + bx + c determines the shape of the parabola. Your answer should refer to both cases: a > 0 and a < 0.
Quick Recall Flashcards
14 questions on Quadratic Graphs — practise free
Instant marking, adaptive difficulty, and 12 spaced repetition flashcards. Free until your GCSEs.
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