ATARMAxxing · HSC Mathematics Advanced revision notes
Transformations of Functions
Graphing Techniques
What this note covers
- What Are Transformations of Functions?
- Vertical Translations: y = f(x) + c
- Horizontal Translations: y = f(x + b)
- Vertical Dilations: y = af(x)
- Horizontal Dilations: y = f(kx)
- Reflections: y = −f(x) and y = f(−x)
- Combining Transformations — Worked Extended Example
7 sections · 14 key terms & formulas · 6 common mistakes
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