Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.

A)Symmetric with respect to the polar axis
B)Symmetric with respect to the polar axis
C)Symmetric with respect to the polar axis
D)Symmetric with respect to the polar axis
E)Symmetric with respect to the polar axis

Question

Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.
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A)Symmetric with respect to the polar axis ​ 
B)Symmetric with respect to the polar axis ​ 
C)Symmetric with respect to the polar axis ​ 
D)Symmetric with respect to the polar axis ​ 
E)Symmetric with respect to the polar axis ​

Quizplus · Accepted Answer

The graph is symmetric with respect to the polar axis, as it passes through the origin and has rotational symmetry. It has zeros at the odd multiples of pi/2 and maximum r-values at the even multiples of pi/2. Additional points to consider are (pi/4, sqrt(2)/2) and (5pi/4, -sqrt(2)/2), which are on the same line as the origin and have r-values of sqrt(2)/2.

Select the Graph of the Polar Equation Using Symmetry, Zeros