MYP 5Year 11Term 2
11.5 Transformations of Functions
Translations and dilations · Reflections · Algebraic and graphical forms a·f(x), f(ax), f(x)+c
Functions
7 objectives
Learning objectives
What students should be able to do by the end of this unit.
Transformations of Functions
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- Describe and perform vertical translations $y = f(x) + c$ and horizontal translations $y = f(x - h)$.
- Describe and perform vertical dilations $y = a \cdot f(x)$ and horizontal dilations $y = f(ax)$.
- Describe and perform reflections in the $x$-axis ($y = -f(x)$) and in the $y$-axis ($y = f(-x)$).
- Apply a sequence of transformations to a graph and state the new key features.
- Match transformed graphs to their algebraic form, and vice versa.
- Use vertex form $y = a(x - h)^2 + k$ to read off translations and dilations of a quadratic.
- Apply transformations to known parent functions (linear, quadratic, exponential).
Review pack
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