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 9 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 9
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) |