IB Maths AA SL 2.11 Graph Transformations

IB Mathematics: analysis and approaches guide, first assessment 2021

Practise applying and describing translations, reflections and stretches in the correct order, then tracking their effects on equations, asymptotes and key graph features.

How this is tested

describe each translation, reflection or stretch with its direction and scale factor
apply transformations in the stated order and distinguish horizontal from vertical changes
track transformed intercepts and asymptotes to verify the resulting function or sketch

[Maximum number: 5]

The following diagram shows the graph of $y=\frac{A x+B}{x-4}$ , where $x \in \mathbb{R}, x \neq 4$ and $A, B \in \mathbb{Z}$ . The graph passes through the points P(-10,1) and Q(3,-12).

Figure for Question 5(b) — IB Maths AA SL

Describe a sequence of transformations that would map the graph of $y=\frac{1}{x}$ onto the graph of $y=\frac{A x+B}{x-4}$ .

How this is tested

Question 5(b)