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Exploring Polar Equations: Shapes and Symmetry Tests

Learn about Limacons, Rose Curves, Circles, Lemniscates, symmetry tests, and more in graphs of polar equations. Understand how the y-axis, x-axis, and the pole affect these polar functions.

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Exploring Polar Equations: Shapes and Symmetry Tests

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  1. Section 10.7

  2. Graphs of Polar Equations • Limacons: • Example: • Rose Curve: • Example:

  3. Graphs of Polar Equations • Circle: • Example: • Lemniscate: • Example:

  4. Graphs of Polar Equations • Symmetry Test for Polar Coordinates: The line (y – axis) Replace: by or

  5. Graphs of Polar Equations • The polar axis (x – axis) • Replace: by or

  6. Graphs of Polar Equations • The pole (the line y = x) • Replace: by or

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