AP Precalculus: Polar Graphing Quiz Graph Rules

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9 Terms

1
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r = a

circle

2
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θ = a

line

3
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  1. r = asinθ

  2. r = -asinθ

  3. r = acosθ

  4. r = -acosθ

  1. up circle

  2. down circle

  3. right circle

  4. left circle

4
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  1. a + bsinθ

  2. a - bsinθ

  3. a + bcosθ

  4. a - bcosθ

a = b

  1. cardioid point towards up

  2. cardioid point towards down

  3. cardioid point towards right

  4. cardioid point towards left

5
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  1. a + bsinθ

  2. a - bsinθ

  3. a + bcosθ

  4. a - bcosθ

a < b

  1. inner loop point towards up

  2. inner loop point towards down

  3. inner loop point towards right

  4. inner loop point towards left

6
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  1. a + bsinθ

  2. a - bsinθ

  3. a + bcosθ

  4. a - bcosθ

b < a < 2b

  1. dimple point towards up

  2. dimple point towards down

  3. dimple point towards right

  4. dimple point towards left

7
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  1. a + bsinθ

  2. a - bsinθ

  3. a + bcosθ

  4. a - bcosθ

a > 2b

  1. convex majority towards up

  2. convex majority towards down

  3. convex majority towards right

  4. convex majority towards left

8
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  1. aθ

  2. -aθ

  1. spiral starting upwards

  2. spiral starting downwards

9
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  1. asin(bθ)

  2. acos(bθ)

Both rose petal graphs! (n is number of petals)

if n is even, n = 2b

if n is odd, n = b

  1. (π/2) / b for place of first petal. (2π) / n for spacing apart

  2. First petal always on positive x axis, 2π / n for spacing apart