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

[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

IB Maths AA SL 2.11 Graph Transformations Questions question 1