IB Maths AA HL Sl 2 11 Graph Transformations Questions

Practise applying translations, reflections and stretches to graphs, deriving transformed functions, mapping key features and describing combined transformations precisely.

Exam points

Apply translations, stretches, reflections and other transformations to function graphs.
Determine transformed equations and map key features using complete mark-scheme evidence.

[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'.

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IB Maths AA HL Sl 2 11 Graph Transformations Questions question 1