Honors Algebra 2 Conics Conqueror________________________________

Chapter 7 Test Review

Conics Summary Sheet

Fill out the information below for each conic. Note that not all the information will apply to each conic. Put

“NA” if the information is not applicable to the conic that you are graphing.

1. ( ) 36)1(422

=++− yx

Type of Conic:___________________ Focus/Foci: ___________________

Center: ________________________ Directrix:_____________________

Length of Major Axis/Transverse: ___ Latus Rectum:_________________

Length of Minor Axis/Conjugate: ____ Vertices: _____________________

Length of Radius:________________ Co-Vertices: __________________

Axis of Symmetry:_______________ Slope of Asymptotes:____________

2. ( )

14

3

25

)1(22

=−

−+ yx

Type of Conic:___________________ Focus/Foci: ___________________

Center: ________________________ Directrix:_____________________

Length of Major Axis/Transverse:___ Latus Rectum:_________________

Length of Minor Axis/Conjugate: ___ Vertices: _____________________

Length of Radius:________________ Co-Vertices: __________________

Axis of Symmetry:_______________ Slope of Asymptotes:____________

3. ( ) 418

1 2++−= xy

Type of Conic:___________________ Focus/Foci: ___________________

Center: ________________________ Directrix:_____________________

Length of Major Axis/Transverse:___ Latus Rectum:_________________

Length of Minor Axis/Conjugate: ___ Vertices: _____________________

Length of Radius:________________ Co-Vertices: __________________

Axis of Symmetry:_______________ Slope of Asymptotes:____________

4. ( )

136

2

16

22

=+

+yx

Type of Conic:___________________ Focus/Foci: ___________________

Center: ________________________ Directrix:_____________________

Length of Major Axis/Transverse: ___ Latus Rectum:_________________

Length of Minor Axis/Conjugate: ___ Vertices: _____________________

Length of Radius:________________ Co-Vertices: __________________

Axis of Symmetry:_______________ Slope of Asymptotes:____________

Find the equation of each of the following conics with the following descriptions:

5. A circle whose endpoints of its diameter are (-4, 1) and (10, -9)

6. A parabola whose focus is (-2, 3) and directrix is y = -1.

7. A hyperbola whose vertices are (3, -6) and (3, 2) and whose foci are 5 units away from the center.

Fill out the information below for each conic. Note that not all the information will apply to each conic. Put

“NA” if the information is not applicable to the conic that you are graphing.

8. 01033490849422

=++−+ yxyx

Type of Conic:___________________ Focus/Foci: ___________________

Center: ________________________ Directrix:_____________________

Length of Major Axis/Transverse: ___ Latus Rectum:_________________

Length of Minor Axis/Conjugate: ____ Vertices: _____________________

Length of Radius:________________ Co-Vertices: __________________

Axis of Symmetry:_______________ Slope of Asymptotes:____________

9. 0118422

=+−++ yxyx

Type of Conic:___________________ Focus/Foci: ___________________

Center: ________________________ Directrix:_____________________

Length of Major Axis/Transverse: ___ Latus Rectum:_________________

Length of Minor Axis/Conjugate: ____ Vertices: _____________________

Length of Radius:________________ Co-Vertices: __________________

Axis of Symmetry:_______________ Slope of Asymptotes:____________

Fill out the information below for each conic. Note that not all the information will apply to each conic. Put

“NA” if the information is not applicable to the conic that you are graphing.

10. 0761283616922

=+−−+− yxyx

Type of Conic:___________________ Focus/Foci: ___________________

Center: ________________________ Directrix:_____________________

Length of Major Axis/Transverse: ___ Latus Rectum:_________________

Length of Minor Axis/Conjugate: ____ Vertices: _____________________

Length of Radius:________________ Co-Vertices: __________________

Axis of Symmetry:_______________ Slope of Asymptotes:____________

11. 733032

+−= xxy

Type of Conic:___________________ Focus/Foci: ___________________

Center: ________________________ Directrix:_____________________

Length of Major Axis/Transverse: ___ Latus Rectum:_________________

Length of Minor Axis/Conjugate: ____ Vertices: _____________________

Length of Radius:________________ Co-Vertices: __________________

Axis of Symmetry:_______________ Slope of Asymptotes:____________

Solve each of the following system of equations algebraically.

12. 2522

=+ yx

7+= xy

13. 16922

=+− yx

30522

=+ yx

14. 722222

=− yx

25422

=+ yx