1. Section 3.2 – Polar Equations
Section 3.3 – Polar Graphs

2. Graphing Polar Curves on Calculator
Shapes of Polar Curves
Graphing Polar Curves on Calculator
Finding Points of Intersection
(Boundaries of Integration)

3. The Shapes
Lines
Circles
Cardioid
Lemniscate
Sprial
Rose Curves

4. The Shapes - Lines
Vertical Line
Horizontal Line
General Line

5. The Shapes - Circles

6. The Shapes – Cardioids
(Hearts)
Note: Extra loop
Only if b > a

7. The Shapes – Lemniscates
(Propellers) 13

8. The Shapes - Spirals

9. The Shapes – Rose Curves
n even – 2n pedals
n odd – n pedals

10. Graphing Polar Curves on Calculator
1. Change mode to Polar
2. Hit y = (you’ll see r = indicating polar mode)
3. Enter the equation
Graphing once should give you a sense of how
to change the x, y and theta constraints.

11. 5. Now change the constraints in WINDOW

12. Finding Points of Intersection
(Boundaries of Integration)

13. WRONG ANSWER