8.1 Parabolas

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14 Terms

1
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Standard Equation (Vertex (0, 0) opening up/down)

x² = 4py

2
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Focus (Vertex (0, 0) opening up/down)

(0, p)

3
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Directrix (Vertex (0, 0) opening up/down)

y = -p

4
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Standard Equation (Vertex (0, 0) opening left/right)

y² = 4px

5
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Focus (Vertex (0, 0) opening left/right)

(p, 0)

6
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Directrix (Vertex (0, 0) opening left/right)

x = -p

7
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Standard Equation (Vertex (h, k) opening up/down)

(x - h)² = 4p(y - k)

8
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Focus (Vertex (h, k) opening up/down)

(h, k + p)

9
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Directrix (Vertex (h, k) opening up/down)

y = k - p

10
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Standard Equation (Vertex (h, k) opening left/right)

(y - k)² = 4p(x - h)

11
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Focus (Vertex (h, k) opening left/right)

(h + p, k)

12
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Directrix (Vertex (h, k) opening left/right)

x = h - p

13
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Focal Length (all)

p

14
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Focal Width (all)

|4p|