IP AMaths Notes (Upper Sec, Year 3-4): 05) Quadratic Equations and Functions
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Discriminant logic, completing the square, and graph interpretation for quadratic functions in IP AMaths.
Last updated 30 Nov 2025
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- Start Here
- 1 Forms to remember
- 2 Worked example - Completing the square
- 3 Worked example - Discriminant constraint
Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 05) Quadratic Equations and Functions cover?
A: Discriminant logic, completing the square, and graph interpretation for quadratic functions in IP AMaths.
Quadratics appear everywhere: simultaneous equations, optimisation, and curve sketching. Keep vertex form and discriminant analysis at your fingertips.
Keep the full topic roadmap handy via our IP Maths tuition hub so you can jump into related drills, quizzes, or diagnostics as you move through these notes.
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Start Here
| Read time | What to take away |
| 1 second | Quadratics connect roots, turning points, and graph shape. |
| 10 seconds | Choose the form that answers the question fastest: factorised form for roots, completed-square form for vertex, discriminant for number of real roots. |
| 100 seconds | Example: to find a minimum value, complete the square first. The constant outside the square is the minimum when the squared part is zero. |
1 Forms to remember
- General:
