MathsNet: G - Graphs - Investigate 3

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TTransformations, Travelling salesman problem, Triangles, Trigonometry

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Page ID: 13671

G | Graphs | Cubic curves | «Investigate 3»

The display shows the graph of y = (x-a)(x-b)(x-c) , where a, b and c are constants. Graphs like these are called cubic graphs.
Investigate the effect of changing a, b and c.
Make sure that you are clear about these aspects of a cubic graph:

its basic shape
its symmetry
the number of places where the curve crosses the x-axis

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) Foundation (UK)	A: Graphs	A12: Sketching Graphs of Functions	Graphs of Cubics	-
CBSE IX (India)	Algebra	Polynomials	Constant, linear, quadratic and cubic	-
CIE IGCSE (9-1) Maths (0626 UK)	2 Algebra and Graphs	B2.10 Further Graphing	Graphs of Cubics	-
Edexcel GCSE (9-1) Foundation (UK)	A: Graphs	A12: Sketching Graphs of Functions	Graphs of Cubics	-
GCSE Higher (UK)	Algebra	Graphs	Cubic curves	-
OCR GCSE (9-1) Foundation (UK)	7: Graphs of Equations and Functions	7.01c: Polynomials and Exponential Functions	Graphs of Cubics	-
Universal (all site questions)	G	Graphs	Cubic curves	-