IB Maths AA 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, reflections and horizontal or vertical stretches to a graph, using the correct direction, scale factor and order.
Derive the transformed function from an original formula or recover transformation parameters from a stated graph or key point.
Map intercepts, vertices, periods, domain or range through a transformation and use them to sketch or evaluate the new graph.
Combine several transformations, including compositions where permitted, and describe the complete sequence unambiguously.

Learn this topic

Study SL 2.11—Graph transformations conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

[Maximum number: 4]

Let $f(x)=3 x^{2}-6 x+p$ . The equation f(x)=0 has two equal roots.

The graph of a function g is obtained from the graph of f by a reflection of f in the x-axis, followed by a translation by the vector $\binom{0}{6}$ . Find g, giving your answer in the form $g(x)=A x^{2}+B x+C$ .

attempt to apply vertical reflection
eg $\quad-f(x),-3(x-1)^{2}$ , sketch
attempt to apply vertical shift 6 units up
eg -f(x)+6, vertex (1,6)
transformations performed correctly (in correct order)
eg $\quad-3(x-1)^{2}+6,-3 x^{2}+6 x-3+6$ $g(x)=-3 x^{2}+6 x+3$

All question bank results loaded

Learn this topic

IB Maths AA SL 2.11 Graph Transformations Questions question 1