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Graphing simple parabolas

Plot y = x², y = ax² and y = x² + k, and describe how changing a and k changes the width, direction and position of a parabola.

⏱ 20 min❓ 10 questions

What you'll be able to do

  • ✔I can plot a parabola from a table of values and identify its vertex and axis of symmetry
  • ✔I can describe how a in y = ax² changes the width and direction of a parabola
  • ✔I can describe how k in y = x² + k translates a parabola up or down

How this works

  1. 1Read the short explanations first — they teach you what you need before each question.
  2. 2Answer each question, then tap Check. A right answer moves you on automatically; if it's wrong, you'll see a friendly explanation of why.
  3. 3Finish all 3 steps to see your score — sign in and subscribe to unlock the full lesson and save it.

What's inside

10 questions and 1 quick teaching card, including:

  • 🔢Number answer — Work out the answer and type the number.
  • 🔘Multiple choice — Tap the answer you think is best, then check it.

👪Grown-up tip: sit alongside younger learners for the first few lessons. Read the questions together and chat about the explanations — that's where the real learning sticks.

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Curriculum: AC9M9A04, AC9M9A06