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Use the slider to change the value of a. Investigate the effect this has on the graph of y=f(ax) \,. Can you describe this effect?

## Summary/Background

The transformation described by y=f(ax) is a stretch in the horizontal direction, stretch factor 1/a.

JSXGraph is a cross-browser library for interactive geometry, function plotting, charting, and data visualization in a web browser. It is implemented completely in JavaScript, does not rely on any other library. It uses SVG and VML and is fully HTML5 compliant.

## Glossary

### function

A rule that connects one value in one set with one and only one value in another set.

### graph

A diagram showing a relationship between two variables.
The diagram shows a vertical y axis and a horizontal x axis.

### plot

To mark a point on a graph accurately by using its coordinates.

### transformation

A change in form or shape.

Full Glossary List

## This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AQA GCSE (9-1) Higher (UK)A: GraphsA13: Sketching Function TransformationsFunction Transformation y=f(ax)-
CIE IGCSE (9-1) Maths (0626 UK)2 Algebra and GraphsB2.10 Further GraphingFunction Transformation y=f(ax)-
Edexcel GCSE (9-1) Higher (UK)A: GraphsA13: Sketching Function TransformationsFunction Transformation y=f(ax)-
GCSE Higher (UK)AlgebraTransformationsy=f(ax)-
OCR GCSE (9-1) Higher (UK)7: Graphs of Equations and Functions7.03a: Translations and ReflectionsFunction Transformation y=f(ax)-
Universal (all site questions)TTransformationsy=f(ax)-