Graphing Polar Equations To graph polar equations we need to use a modified coordinate system that...

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Graphing Polar Equations

To graph polar equations we need to use a modified coordinate system that better suits the values we will be calculating.

Graphing Polar Equations

Lets begin with a normal x , y axis

Graphing Polar Equations

Lets begin with a normal x , y axis

Next, create concentric circles all of which are increasing in radius by 1…

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Didn’t graph

Graphing Polar Equations

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Didn’t graph

Didn’t graph

Graphing Polar Equations

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Didn’t graph

Didn’t graph

Graphing Polar Equations

Some polar equations when graphed have symmetry about the x axis, y axis, or origin.

Graphing Polar Equations

Some polar equations when graphed have symmetry about the x axis, y axis, or origin.

Use this chart to help determine if a polar graph will have symmetry…

Graphing Polar Equations

Some polar equations when graphed have symmetry about the x axis, y axis, or origin.

Use this chart to help determine if a polar graph will have symmetry…

Graphing Polar Equations

Some polar equations when graphed have symmetry about the x axis, y axis, or origin.

Use this chart to help determine if a polar graph will have symmetry…

Graphing Polar Equations

Some polar equations when graphed have symmetry about the x axis, y axis, or origin.

Use this chart to help determine if a polar graph will have symmetry…

Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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Graphing Polar Equations

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To finish the graph using symmetry , we simply reflect the graph about the x – axis

Graphing Polar Equations

As you can see, graphs of polar equations create some very unique shapes.Here is a guide to help you create these graphs…

Graphing Polar Equations

Graphing Polar Equations

Graphing Polar Equations

Graphing Polar Equations

Graphing Polar Equations