SECTION 8.3 Flashcards

1
Q

What are the equation, asymptotes, foci, vertices, and eccentricity of a vertical hyperbola?

A

Equation: (y - k)²/a² - (x - h)²/b² = 1
Asymptotes: y - k = ±(a/b)(x-h)
Foci: (h, k±c)
Vertices: (h, k±a)
Eccentricity: c/a

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2
Q

What are the equation, asymptotes, foci, vertices, and eccentricity of a vertical hyperbola?

A

Equation: (x - h)²/a² - (y - k)²/b² = 1
Asymptotes: y - k = ±(b/a)(x-h)
Foci: (h±c, k)
Vertices: (h±a, k)
Eccentricity: c/a

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3
Q

How do you find the variable “C” for hyperbolas?

A

c = square root of a² + b²

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4
Q

How do you find the length of the transverse axis?

A

2a

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5
Q

How do you find the length of the conjugate axis?

A

2b

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