MathsNet: T - Transformations - Investigate 1

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Page ID: 11680

T | Transformations | y=f(ax) | «Investigate 1»

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

JSXGraph

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.

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:

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)	-