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#### Resources tagged with Families of Graphs similar to Folium of Descartes:

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Broad Topics > Coordinates and Coordinate Geometry > Families of Graphs ### Folium of Descartes

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

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. ### Cocked Hat

##### Age 16 to 18 Challenge Level:

Sketch the graphs for this implicitly defined family of functions.