Mathematics: Analysis and Approaches · Topic 2: Functions

AHL2.16 — Further transformations and modulus equations

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

1. $y=|f(x)|$ and $y=f(|x|)$

   Reflecting negative parts upward, and mirroring the right side onto the left.

2. $y=\dfrac{1}{f(x)}$, $y=[f(x)]^2$ and $y=f(ax+b)$

   The reciprocal, square, and combined horizontal transformations of a graph.

3. Modulus equations and inequalities

   Solving equations and inequalities involving $|\;|$, graphically and by cases.