Writing Equations of Hyperbolas Date Period
Kuta Software - Infinite Algebra 2
Name___________________________________
Writing Equations of Hyperbolas
Date________________ Period____
Use the information provided to write the standard form equation of each hyperbola.
1) x yx y
2) x yx y
3) x yx y
4) x yx y
5) y
x
7) Vertices: (, ), (, )
Conjugate Axis is units long
6) y
x
8) Vertices: (, ), (, )
Conjugate Axis is units long
9) Vertices: (, ), (, ) Endpoints of Conjugate Axis: (, ) (, )
( ) ( ) 10) Vertices: , , ,
( ) Endpoints of Conjugate Axis: ,
( ) ,
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Worksheet by Kuta Software LLC
11) Vertices: (, ), (, )
Foci: (, ), (, )
12) Vertices: (, ), (, )
Foci: (, ), (, )
13) Vertices: (, ), (, )
Distance from Center to Focus =
14) Vertices: (, ), (, )
Distance from Center to Focus =
15) Foci: (, ), (, )
Asymptotes: y x
y x
16) Foci: ( , ), ( , )
Asymptotes: y x
y x
17) Vertices: (, ), (, )
Asymptotes: yx yx
18) Vertices: (, ), (, )
Asymptotes: yx yx
19) Foci: (, ), (, )
Conjugate Axis is units long
20) Foci: (, ), (, )
Endpoints of Conjugate Axis: (, ) (, )
21) Foci: (, ), (, )
Points on the hyperbola are units closer to one focus than the other
22) Center at (, )
Transverse axis is vertical and units long Conjugate axis is units long
23) Center at (, )
Transverse axis is vertical; central rectangle is units wide and units tall
24) Vertices: (, ), (, )
Perimeter of Central Rectangle =
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
Writing Equations of Hyperbolas
Date________________ Period____
Use the information provided to write the standard form equation of each hyperbola.
1) x yx y
( y) (x)
2) x yx y
(x) ( y)
3) x yx y
( y) (x)
4) x yx y
(y) (x)
5) y
x
x (y)
7) Vertices: (, ), (, )
Conjugate Axis is units long
( y) (x)
6) y
x
(y) x
8) Vertices: (, ), (, )
Conjugate Axis is units long
(y) (x)
9) Vertices: (, ), (, ) Endpoints of Conjugate Axis: (, ) (, )
(x) ( y)
( ) ( ) 10) Vertices: , , ,
( ) Endpoints of Conjugate Axis: ,
( ) ,
( ) (x)
y
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Worksheet by Kuta Software LLC
11) Vertices: (, ), (, )
Foci: (, ), (, )
( y) (x)
13) Vertices: (, ), (, )
Distance from Center to Focus =
( y) (x)
15) Foci: (, ), (, )
Asymptotes: y x
y x
( y) (x)
17) Vertices: (, ), (, )
Asymptotes: yx yx
(x) ( y)
19) Foci: (, ), (, )
Conjugate Axis is units long
( y) (x)
21) Foci: (, ), (, )
Points on the hyperbola are units closer to one focus than the other
( y) (x)
12) Vertices: (, ), (, )
Foci: (, ), (, )
(y) (x)
14) Vertices: (, ), (, )
Distance from Center to Focus =
(y) (x)
16) Foci: ( , ), ( , )
Asymptotes: y x
y x
x ( y)
18) Vertices: (, ), (, )
Asymptotes: yx yx
(x) y
20) Foci: (, ), (, )
Endpoints of Conjugate Axis: (, ) (, )
(y) (x)
22) Center at (, )
Transverse axis is vertical and units long Conjugate axis is units long
(y) (x)
23) Center at (, )
Transverse axis is vertical; central rectangle is units wide and units tall
( y) (x)
24) Vertices: (, ), (, )
Perimeter of Central Rectangle =
(y) (x)
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Worksheet by Kuta Software LLC
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