10
QuizMultiple Choice

Graphing Polar Equations

Question 10 • *PGHS Precalculus B

Which graph represents the polar curve r = 4cos(3θ)?

Answer
A
On a polar coordinate plane, a rose curve has 8 petals. Four petals are on the x and y-axes.
Option A
B
On a polar coordinate plane, a rose curve has 3 petals. One petal goes to (4, 0), another to (4, StartFraction 2 pi Over 3), and another goes to (4, StartFraction 4 pi Over 3 EndFraction).
Option B
C
On a polar coordinate plane, a rose curve has 8 petals. The petals are not on the x- or y-axes.
Option C
D
On a polar coordinate plane, a rose curve has 3 petals. One petal goes to (4, StartFraction pi Over 6 EndFraction), another to (4, StartFraction 5 pi Over 6), and another goes to (4, StartFraction 3 pi Over 2 EndFraction).
Option D