PrepWisePrepWiseMathematics
GraphsHigh Exam FrequencyAQAEdexcelOCRWJEC

Quadratic Graphs

Revise Quadratic Graphs in Graphs for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency exam topic, so students should expect to explain it clearly under timed conditions.

Study this topic

1

The Trajectory of a Perfect Shot

Introduction2

Quadratic Graph Essentials

Key Facts3

Quadratic Graph Features

Diagram4

Key Features of Quadratic Graphs

Key Facts5

Drawing Quadratic Graphs

Deep Dive6

Worked Examples

Deep Dive7

Exam Tips for Quadratic Graphs

Exam Tips8

Transformations of y = x²

Deep Dive9

Real-World Applications

Deep Dive

Sample Flashcards

What is a parabola?
The U-shaped (or n-shaped) curve produced by a quadratic graph. - a > 0: opens upward (U-shape, minimum) - a < 0: opens downward (n-shape, maximum)
What are the roots of a quadratic graph?
The x-values where the graph crosses the x-axis (where y = 0). A quadratic can have: - 2 roots (crosses x-axis twice) - 1 root (just touches x-axis) - 0 roots (entirely above or below x-axis)

Sample Questions

The quadratic y = -3x² + 2x - 1 has a negative coefficient of x². What shape does this parabola make?

  • A. U-shape (opens upward, minimum point)
  • B. ∪-shape (opens upward, minimum point at top)
  • C. ∩-shape (opens downward, maximum point)
  • D. S-shape (neither minimum nor maximum)
1 markfoundation

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.

2 marksstandard

14

exam-style questions

12

revision flashcards

Ready to revise Quadratic Graphs?

Get personalised daily study plans, adaptive quizzes, and spaced repetition flashcards.

Join Alpha

Previous topic

Linear Graphs Problems

Next topic

Cubic Graphs