Objective: Graph limacon curves.

Warm up1. 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 1Graph. 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 PointShould be able to do:12-27; 28,31