MathsYears 10–11Algebra

Quadratic and cubic graphs

Plot and interpret quadratic, cubic and reciprocal graphs

What you'll learn

  1. 1

    Imagine you throw a ball in the air. The path it makes is a curve called a quadratic graph — like an upside-down smile! 🏀

  2. 2

    What shape does a quadratic graph make?

  3. 3

    Let's plot y = x² together. We'll pick x values and work out y.

  4. 4

    Now try y = x² + 1. Move the points to match the curve.

  5. 5

    Now imagine a cubic graph — it makes an S-shaped curve that goes up and down. The equation has an x³ term, like y = x³.

  6. 6

    Let's plot y = x³ together.

  7. 7

    Which of these is a cubic graph equation?

  8. 8

    For y = x³, what is y when x = -1?

Practise Quadratic and cubic graphs with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 14–16. Aligned to the UK National Curriculum.