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Resources tagged with Families of Graphs similar to Rational Request:

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Broad Topics > Coordinates and Coordinate Geometry > Families of Graphs

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Witch of Agnesi

Stage: 5 Challenge Level: Challenge Level:1

Sketch the members of the family of graphs given by y = a^3/(x^2+a^2) for a=1, 2 and 3.

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Folium of Descartes

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.

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Sine Problem

Stage: 5 Challenge Level: Challenge Level:1

In this 'mesh' of sine graphs, one of the graphs is the graph of the sine function. Find the equations of the other graphs to reproduce the pattern.

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Quartics

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Investigate the graphs of y = [1 + (x - t)^2][1 + (x + t^)2] as the parameter t varies.

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Cocked Hat

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Sketch the graphs for this implicitly defined family of functions.


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