MA16-08 Maths Coming soon
Translating a Graph: Vocabulary and y=f(x)+a, y=f(x+a)
MA16-08
This lesson is coming soon.
In this lesson
Define the vocabulary of graph transformations (mapped, invariant point) and sketch y=f(x)+a and y=f(x+a) for a given function's graph.
What it covers
- Defining 'mapped' (one graph transformed into another) and 'invariant point' (a point that stays in the same place under the transformation)
- Sketching y=f(x)+a as a vertical translation of a given graph
- Sketching y=f(x+a) as a horizontal translation, with the direction-reversal trap (f(x-a) shifts right when a is positive, subtracted inside the bracket) named explicitly
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560, Edexcel IGCSE 4MA1
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | A13 | Sketch translations and reflections of a given function |
| Edexcel GCSE 1MA1 | A13 | Sketch translations and reflections of a given function |
| Eduqas GCSE C300 | HA13 | Sketch translations and reflections of a given function |
| OCR GCSE J560 | 7.03a | Identify and sketch translations and reflections of a given graph (or the graph of a given equation). |
| Edexcel IGCSE 4MA1 | H3.3B | Apply to the graph of y = f(x) the transformations y = f(x) + a, y = f(ax), y = f(x + a), y = af(x) for linear, quadratic, sine and cosine functions |
| Edexcel IGCSE 4MA1 | H3.3C | Interpret and analyse transformations of functions and write the functions algebraically |
For teachers
This GCSE Maths lesson teaches translating a Graph: Vocabulary and y=f(x)+a, y=f(x+a). By the end, students should be able to define the vocabulary of graph transformations (mapped, invariant point) and sketch y=f(x)+a and y=f(x+a) for a given function's graph. It works through two worked examples and the mistakes examiners report.