Hyperbolas - Algebra Worksheet With Answers
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1
2Worksheet 6
Conic Sections: Hyperbolas
Find the standard form of the equation of the hyperbola. Find the center, vertices, foci, and asymptotes.
Sketch the hyperbola
1
− x
+ 2x + 54y + 62
2
2
9y
2
− y
+ 54x + 10y + 55 = 0
2
2
9x
Find the standard form of the equation of the hyperbola with the given characteristics.
(
)
3
Vertices: ±1, 0
; asymptotes: y = ±5x
(
)
(
)
(
)
4
Vertices:
; passes through the point
5, −1
0, 4
, 0, 0
(
)
(
)
5
, 3, −6
y = x − 6, y = −x
Vertices:
; asymptotes:
3, 0
Worksheet 6
Conic Sections: Hyperbolas
Find the standard form of the equation of the hyperbola. Find the center, vertices, foci, and asymptotes.
Sketch the hyperbola
1
− x
+ 2x + 54y + 62
2
2
9y
2
− y
+ 54x + 10y + 55 = 0
2
2
9x
Find the standard form of the equation of the hyperbola with the given characteristics.
(
)
3
Vertices: ±1, 0
; asymptotes: y = ±5x
(
)
(
)
(
)
4
5, −1
Vertices:
; passes through the point
0, 4
, 0, 0
(
)
(
)
5
, 3, −6
y = x − 6, y = −x
Vertices:
; asymptotes:
3, 0
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