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.

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)	-