Ch 9 Polar Coordinates and Complex numbers
L9.2 Graphs of Polar equations
You must be able to match the graph with its name and its equation.
Classical Curves
Petals of a rose
• n-petalled rose if n is odd, or a 2n-petalled rose if n is even. If n is rational but not an integer, a rose-like shape may form but with overlapping petals. Note that these equations never define a rose with 2, 6, 10, 14, etc. petals. The variable a represents the length of the petals of the rose.
Classwork
Classical Curves
Classical Curves
Classical CurvesCardioid – a special case of the limacon family of curves
Cardoid
Classical Curves
Classwork - HandoutHomework – page 565 11-22
Experiment with your calculator.
• Try graphing the classic polar graphs.• Experiment with different values for a and b
and determine what effect each has on the graph.
• Experiment with the sin and cos and determine what effect each has on the graph.
• Write your equation on your handout chart and sketch its graph below.
Now lets try the following problems.
• Copy the questions on your notebook paper.• Write your answers.• Check for correctness.
• Practice Master 9-2