honors algebra 2 conics conqueror conics summary...
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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:____________