Worksheet: Graphing Polar Curves

In this worksheet, we will practice plotting and drawing graphs of equations in polar form and identifying classical shapes in polar form such as circles, cardioids, and roses.

Q1:

Select the graph of 𝑟 = 4 ( 3 𝜃 ) c o s .

  • A
  • B
  • C
  • D

Q2:

Select the graph of 𝑟 = 3 2 ( 𝜃 ) c o s .

  • A
  • B
  • C
  • D

Q3:

The figure shows the spiral 𝑟 = 𝜃 .

What is the range of the parameter 𝜃 ? Give your answer in terms of 𝜋 .

  • A 0 𝜃 7 𝜋 2
  • B 0 𝜃 𝜋
  • CIt cannot be determined from this graph.
  • D 0 𝜃 1 3 𝜋 4
  • E 0 𝜃 1 3 𝜋 2

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