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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 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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Page 1: 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

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

Page 2: 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

Page 3: 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

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

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Page 4: 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

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Page 5: 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

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Page 6: 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

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Page 7: 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

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Page 8: 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

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Page 9: 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

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Page 10: 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

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Page 11: 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

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Page 12: 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

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Page 13: 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

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Page 14: 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

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Page 15: 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

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Page 16: 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

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Page 17: 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

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Page 18: 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

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Page 19: 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

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Page 20: 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

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Page 21: 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

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Page 22: 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

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Didn’t graph

Page 23: 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

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Didn’t graph

Didn’t graph

Page 24: 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

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Didn’t graph

Didn’t graph

Page 25: 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

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

Page 26: 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

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…

Page 27: 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

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…

Page 28: 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

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…

Page 29: 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

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…

Page 30: 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

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Page 31: 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

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Page 32: 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

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Page 33: 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

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Page 34: 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

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Page 35: 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

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Page 36: 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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Page 37: 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

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Page 38: 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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Page 39: 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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To finish the graph using symmetry , we simply reflect the graph about the x – axis

Page 40: 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

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

Page 41: 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

Page 42: 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

Page 43: 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

Page 44: 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

Page 45: 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