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

Question

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

1. Symmetry: The graph shows symmetry about the vertical axis because it is not shifted in any direction.
2. Zeros: The graph has one zero at π/2 because that is where the cosine function equals zero.
3. Maximum r-values: The graph has a maximum r-value of 4 at θ = π/4 and 5π/4 because the cosine function equals 1 at those values of θ.
4. Additional points: The graph appears to pass through the origin, and at θ = 3π/4, r = 2.5.

Therefore, the graph matches the polar equation r = 4cos(θ) and the correct choice is D.

Select the Graph of the Polar Equation Using Symmetry, Zeros