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

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Presentation transcript:

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… 2 4

Graphing Polar Equations 2 4

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Graphing Polar Equations

Graphing Polar Equations

Graphing Polar Equations

Graphing Polar Equations

Graphing Polar Equations

Graphing Polar Equations

Graphing Polar Equations Didn’t graph

Graphing Polar Equations Didn’t graph

Graphing Polar Equations 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 2 4

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2 4 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