The polar equation $$r=3-\sin\theta$$ is symmetrical about ...

the radial axis $$\theta=\ \frac{\pi}{2}$$

The polar equation $$r=3-4\cos\theta$$ is symmetrical about ...

the radial axis $$\theta=\ \frac{\pi}{2}$$

Identify the name of the polar graph, given by the equation r = 7 cos ⁡ θ r=7\cos\theta r = 7 cos θ .

circle not centered at the pole

The polar graph is symmetric about ______.

the line θ = π 2 \theta=\frac{\pi}{2} θ = 2 π

The polar graph is symmetric about _____.

the line θ = π 2 \theta=\frac{\pi}{2} θ = 2 π

Which of the following polar equations gives a circle with its center at the rectangular point (-3,0)?

r = − 6 cos ⁡ θ r=-6\cos\theta r = − 6 cos θ

r = − 3 cos ⁡ θ r=-3\cos\theta r = − 3 cos θ

r = 3 sin ⁡ θ r=3\sin\theta r = 3 sin θ

$$r=5\sin\left(5\theta\right)$$ . Select all statements that are true about its graph.

Each petal is $$72\degree$$ apart (from center to center).

The graph is symmetric about the line $$\theta=\frac{\pi}{2}$$ .

Cardioid with the bulk of the graph down with length 3

Circle with the bulk of the graph up with length 3

Circle with the bulk of the graph down with length 3

Cardioid with the bulk of the graph up with length 3

Inner loop limacon with the bulk of the graph to the right

Convex limacon with the bulk of the graph to the right

Inner loop limacon with the bulk of the graph to the up

Convex limacon with the bulk of the graph to the up

Match the given polar equation with its corresponding graph. $$r=-2$$

circle with center NOT at (0,0)

Polar Equations & Graphs

Authored by Nicole Wilson

Mathematics

12th Grade

CCSS covered

Used 4+ times

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The polar equation of this curve is

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The polar equation of the curve is

The polar eqiuation of the curve is

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Describe the curve.

Rose with 4 leaves, Length 3

Rose with 3 leaves, Length 4

Rose with 8 leaves, Length 3

Circle with a diameter of 12

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following could be the equation for...

r = sin 4θ

r = 6 sin 2θ

r = 6 cos 2θ

r = cos 4θ

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

FILL IN THE BLANK QUESTION

2 mins • 1 pt

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Polar Equations & Graphs

The polar equation of this curve is

The polar equation of the curve is

The polar eqiuation of the curve is

Describe the curve.

Which of the following could be the equation for...

What is the polar equation of the graph shown here?

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