Objective: Graph limacon curves. Warm up 1.Graph. a. b.

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GRAPHS OF THE POLAR EQUATIONS r = a ± b cos θ r = a ± b sin θ

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Presentation transcript:

Objective: Graph limacon curves. Warm up 1.Graph. a. b.

Limacons Convex Dimpled Cardioid Inner-Loop

2.Symmetry for graphs of limacons. What can you conclude about their symmetry?

Limacon curves: or a > 0 and b > 0 Symmetry:. w.r.t y-axis. w.r.t x-axis. Max-r value: a + b Domain: all reals Range : [ a - b, a + b]

Types of Limacons: Inner

Example 1 Graph. Identify the type of limacon. a.

b.

c.

Assignment pg 683 #16,18,19,20,21,23. Review: 6.3; first part of 6.4: Graph rose curves and circles, and test for symmetry of polar equations. Pg 685: Mid Chapter Check Point Should be able to do: 12-27; 28,31