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
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
3
Q
How do you find the variable “C” for hyperbolas?
A
c = square root of a² + b²
4
Q
How do you find the length of the transverse axis?
A
2a
5
Q
How do you find the length of the conjugate axis?
A
2b