Eccentricity & Discriminant - Pre-calculus 1Q

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12 Terms

1
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In discriminant, when B^2-4AC _____ 0, and A ā‰  C or B ā‰  0, then it is a ELLIPSE.

2
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=

In discriminant, when B^2-4AC _____ 0, then it is a PARABOLA.

3
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<

In discriminant, when B^2-4AC _____ 0, and A = C and B = 0, then it is a CIRCLE.

4
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>

In discriminant, when B^2-4AC _____ 0, then it is a HYPERBOLA.

5
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c/a

Formula for eccentricity:

6
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c

Represents distance from center to focus.

7
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a

Represents distance from center to vertex.

8
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=

In eccentricity, when e _____ 0, it is a CIRCLE.

9
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<

In eccentricity, when e _____ 1, it is a ELLIPSE.

10
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=

In eccentricity, when e _____ 1, it is a PARABOLA.

11
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>

In eccentricity, when e _____ 1, it is a HYPERBOLA.

12
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b^2-4ac

Formula for discriminant: