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.

## Software/Applets used on this page

This page uses JSXGraph

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.

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.

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.

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|

AQA GCSE (9-1) Higher (UK) | A: Graphs | A13: Sketching Function Transformations | Function Transformation y=f(ax) | - |

CIE IGCSE (9-1) Maths (0626 UK) | 2 Algebra and Graphs | B2.10 Further Graphing | Function Transformation y=f(ax) | - |

Edexcel GCSE (9-1) Higher (UK) | A: Graphs | A13: Sketching Function Transformations | Function Transformation y=f(ax) | - |

GCSE Higher (UK) | Algebra | Transformations | y=f(ax) | - |

OCR GCSE (9-1) Higher (UK) | 7: Graphs of Equations and Functions | 7.03a: Translations and Reflections | Function Transformation y=f(ax) | - |

Universal (all site questions) | T | Transformations | y=f(ax) | - |