Graphing Polar Graphs Calc AB- Section10.6A. Symmetry Tests for Polar Graphs 1.Symmetry about the x -axis: If the point lies on the graph, the point ________.

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Presentation transcript:

Graphing Polar Graphs Calc AB- Section10.6A

Symmetry Tests for Polar Graphs 1.Symmetry about the x -axis: If the point lies on the graph, the point ________ OR __________ lies on the graph. 2.Symmetry about the y -axis: If the point lies on the graph, the point ___________ OR __________ lies on the graph. 3.Symmetry about the origin: If the point lies on the graph, the point ___________ OR __________ lies on the graph. Symmetry About the x -axis About the y -axisAbout the origin

Test for Symmetry x -axis symmetry test y -axis symmetry test origin symmetry test Plug in OR Plug in

Slope of Polar Curves The slope of a polar curve is given by ______ NOT by ____________. Need to think of f as a graph of the ____________________ equations We can calculate ________ by differentiating each with respect to ____: PARAMETRIC Slope of the Curve at on the curve

Example 1: Given a. Test the symmetry of

b) Find the slope of the tangent at

r c) Sketch the graph of