Mathematics: Analysis and Approaches · Topic 2: Functions

SL2.11 — Transformations of graphs

Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes

1. Translations and reflections

   Shifting a graph with $f(x)+b$ and $f(x-a)$, and reflecting with $-f(x)$ and $f(-x)$.

2. Stretches

   Vertical stretch $p\,f(x)$ and horizontal stretch $f(qx)$.

3. Composite transformations

   Combining transformations and why the order in which they are applied matters.