IB Maths AA HL 2.11 Graph transformations Question Bank

Practise IB Mathematics SL/HL 2.11 by applying graph transformations methods to exam-style questions.

Exam points

identify the mathematical structure, variable or representation
select and apply the correct theorem, formula or algorithm
check the result using units, domain, graph or logical reasoning

[Maximum number: 3]

Consider the function $f(x)=a x^{3}+b x^{2}+c x+d$ , where $x \in \mathbb{R}$ and $a, b, c, d \in \mathbb{R}$ .

State each of the transformations in the order in which they are applied.

(c) translation through $\binom{2}{0}$ ,

Note: This can be seen anywhere.

EITHER
a stretch scale factor $\frac{1}{2}$ parallel to the y-axis then a translation through $\binom{0}{-4} \quad \boldsymbol{A} 2$
OR
a translation through $\binom{0}{-8}$ then a stretch scale factor $\frac{1}{2}$ parallel to the y-axis A2

Note: Accept 'shift' for translation, but do not accept 'move'. Accept 'scaling' for 'stretch'.

All question bank results loaded

SL 2.11—Graph transformations question 1