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Interpret Symmetry and Periodicity in Polar Graphs
Worksheet
Grade Level
Pre-Calculus
Pre-CAL.104 Interpret Symmetry and Periodicity in Polar Graphs
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Which option correctly pairs the complete symmetry conclusion with the periodicity of r = 2/(1 + cos(theta))?
A
For r = 2/(1 + cos(theta)), the complete direct-test result is polar-axis symmetry only (theta -> -theta), and the equation repeats every 4pi in theta.
B
For r = 2/(1 + cos(theta)), the complete direct-test result is polar-axis symmetry only (theta -> -theta), and the equation repeats every 2pi in theta.
C
For r = 2/(1 + cos(theta)), the complete direct-test result is symmetry about line theta = pi/2 only (theta -> pi - theta), and the equation repeats every 4pi in theta.
D
For r = 2/(1 + cos(theta)), the complete direct-test result is pole symmetry only (theta -> theta + pi), and the equation repeats every 4pi in theta.
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