IP EMaths Notes (Upper Sec, Year 3-4): 06) Quadratic Functions and Graphs

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08 Nov 2025, 00:00 Z

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Marcus Pang·Managing Director (Maths)

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Q: What does IP EMaths Notes (Upper Sec, Year 3-4): 06) Quadratic Functions and Graphs cover?
A: Complete the square, locate turning points, and sketch parabolas with intercepts and symmetry clearly marked.

Quadratic graphs model projectile paths, profit curves, and optimisation problems. Completing the square reveals turning points instantly and helps evaluate maxima or minima.

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.

These notes align with SEAB GCE O-Level Mathematics (4048) content used in IP programmes (exams from 2026).

Status: SEAB O-Level Mathematics 4048 syllabus (exams from 2026) checked 2025-11-30 - scope unchanged; remains the reference for these notes.

Toolkit

• Standard form: $y = ax^{2} + bx + c$.
• Completed square: $y = a\left(x - h\right)^{2} + k$