IP EMaths Notes (Upper Sec, Year 3-4): 08) Functions and Transformations
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Interpret function notation, compose mappings, and relate algebraic changes to graph translations or stretches.
Last updated 30 Nov 2025
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- Key ideas
- Worked example - Transformation tracker
- Worked example - Compose functions carefully
Q: What does IP EMaths Notes (Upper Sec, Year 3-4): 08) Functions and Transformations cover?
A: Interpret function notation, compose mappings, and relate algebraic changes to graph translations or stretches.
Start Here
| Read time | What to take away |
| 1 second | A function is an input-output rule; a transformation tells how its graph moves or stretches. |
| 10 seconds | For composites, work from the inside function outward. For graph shifts, changes outside (f(x)) move the graph vertically, while changes inside the brackets move it horizontally. |
| 100 seconds | Use the examples to track each step clearly: substitute inputs, compose functions in the stated order, reverse operations for an inverse, and describe graph movement in plain words. |
Function language appears in calculator prompts, inverse-relationship questions, and graph sketching. Track how algebraic edits move or stretch the curve.
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These notes align with SEAB GCE O-Level Mathematics (4052) content used in IP programmes (exams from 2026).
Status: SEAB O-Level Mathematics 4052 syllabus (exams from 2026) checked 2025-11-30 - scope unchanged; remains the reference for these notes.
