Sketch the graph of the polar equation. (Find a corresponding x-y equation if it helps.)

Name: Sketch the graph of the polar equation. (Find a corresponding x-y equation if it helps.)
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Question

Quizplus · Accepted Answer

The polar equation is of the form r = a + bcos(theta), which describes a cardioid. 
With a = 1 and b = 2, the corresponding x-y equation is: 
(x^2 + y^2 - x)^2 = 4(x^2 + y^2). 
Alternatively, we could plot points using the polar equation and connect them to form the cardioid.

Sketch the Graph of the Polar Equation