Web Grapher

Click one of the links below to get started. Each corresponds to a specific graph type.

Function Graph

This graphs z in terms of x and y, where x and y are within a given range. It can be pictured as defining the altitude of a piece of terrain based on location.

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Examples:

• Hyperbolic Paraboloid
• Quartic Function
• Bumpy Surface

Parametric Curve

In this graph, x, y, and z are all defined independently with respect to t, which can vary between a user-defined minimum and maximum value. The corresponding curve is plotted.

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Examples:

• Helix
• 8-Petal Rose with Depth
• Cone Spiral

Parametric Surface

In this graph, x, y, and z are all defined independently with respect to s and t, which can vary between a user-defined minimum and maximum value. The corresponding surface is plotted.

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Examples:

• Sphere
• Torus
• Möbius Strip
• Spiral

Disk/Washer Graph

This graph takes the area between two functions with y defined in terms of x, and it revolves the resulting region about the x-axis.

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Examples:

• Bowl
• Vessel
• Hyperboloid

Cylindrical Shell Graph

This graph takes the area between two functions with y defined in terms of x, and it revolves the resulting region about the y-axis.

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Examples:

• Bowl
• Pond
• Paraboloid

Cross Section Graph

This graph takes the area between two functions with y defined in terms of x, and it replaces each y-slice with a given shape defined in a drop-down menu such that any cross section parallel to the yz-plane is the shape chosen. The choices are circle, semicircle (with the diameter on the xy-plane), square (with either the base or the center on the xy-plane), and triangle (with the base on the xy-plane).

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Examples:

• Circular Base with Square Cross Sections
• sin(x^2)
• Two parabolas