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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