| Vocab | Standard Equation | Find the Equation | Matching the Graphs | Miscellaneous |
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Practice: Every hyperbola has two ______________ that intersect at the center of the hyperbola.
Asymptotes
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Practice: what is the standard equation of a hyperbola equation?
(x-h)^2/a^2- (y-k)^2/b^2 = 1
and (y-k)^2/a^2- (x-h)^2/b^2 = 1 |
Practice: Foci: (-1,2) and (5,2) verticies: (0,2) and (4,2)
(x-2)^2 / 4 - (y-2)^2 / 5 = 1
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Every hyperbola has two disconnected ______________.
Branches
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find the center, vertices, foci, and asymptotes of the hyperbola : x^2 - y^2 = 1
center: (0,0) vertices: (0, +/- 5) foci: (0, +/-13) asymptotes : y = +/-5/12x
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What is Verticies:(0,+/-2) Foci:(0,+/-4)
(y^2 /4) - (x^2 /12) =1
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What is a hyperbola?
A hyperbola is the set of all points (x,y) the difference of whose distances from two distinct fixed points is a positive constant.
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What isFoci:(0,+/-8) Asymptotes: y= +/- (3/4)x
(17y^2/1024)- (17x^2/64)=1
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What is the relationship between the transverse axis of a hyperbola and its center?
The transverse axis is the line connecting the vertices and the center is the midpoint of the transverse axis.
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What isVerticies: (2,0) (6,0) Foci: (0,0) (8,0)
((x-4)^2 /4)- (y^2 /12) =1
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What is the conjugate axis of a hyperbola?
Horizontal Transverse Axis: The conjugate axis is the line segment of length 2b joining (h,k+b) and (h,k-b)
Vertical Transverse Axis: The conjugate axis is the line segment of length 2b joining (h+b,k) and (h-b,k) |
What is Verticies: (2,3) (2,-3) passes through (0,5)
(y^2/9) - (4(x-2)^2 / 9) =1
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