10.6 Worksheet #1
Name ______________________________Per_______
For questions 1-3, identify the conic, write the equation in standard form, and graph the equation.
1.
Conic___________________
4x2
4
200
49 y 2
2.
Conic___________________
9 y 2 127
25 x 2
3.
Conic___________________
3y2
98
48 3x 2
Check your answers for 1-3, then use the graphs and equations to answer the following questions…
4.
The circle has a radius of __________.
5.
The major axis of the ellipse is horizontal/vertical?
6.
The distance between co-vertices of the ellipse is __________.
7.
The distance between vertices of the ellipse is __________.
8.
The vertices of the ellipse are __________ & __________.
9.
The co-vertices of the ellipse are __________ & __________.
10.
The equations for the asymptotes of hyperbola are _____________.
11.
The transverse axis of the hyperbola is horizontal/vertical?
For questions 12-14, identify the conic and write the equation in standard form.
12.
Conic_________________________
16x 2
14.
4y 2
96x
8y
116
13.
0
Conic_________________________
25 x 2 16 y 2 100 x 128 y 44
0
Conic_________________________
Check your answers for 12-14 then use the equations to
x
2
y
2
16 x 32 y 4
0
answer the following…
15. The circle has a radius of ______ & and center of___________.
16.
The major axis of the ellipse is horizontal/vertical?
17.
The center of the ellipse is _____________.
18.
The distance between co-vertices of the ellipse is __________.
19.
The distance between vertices of the ellipse is __________.
20.
The transverse axis of the hyperbola is horizontal/vertical?
21.
The center of the hyperbola is _____________.
22.
The equations of the hyperbola’s asymptotes are
_________________________________________________.
10.6 Worksheet #2
Name ______________________________Per_______
For questions 1-3, identify the conic, write the equation in standard form, and graph the equation.
1.
Conic___________________
16 x 2
8y
4 64 x
4y2
2.
Conic___________________
2y2
16 x 12 y
3.
2x 2
Conic___________________
3x 2
12 x 12 y 2
72 y 12
Check your answers for 1-3, then use the graphs and equations to answer the following questions…
4.
The circle has a radius of __________.
5.
The major axis of the ellipse is horizontal/vertical?
6.
The distance between co-vertices of the ellipse is __________.
7.
The distance between vertices of the ellipse is __________.
8.
The vertices of the ellipse are __________ & __________.
9.
The co-vertices of the ellipse are __________ & __________.
10.
The equations for the asymptotes of hyperbola are _____________.
11.
The transverse axis of the hyperbola is horizontal/vertical?
For questions 12-14, Identify the conic and write the equation in standard form.
12.
Conic_________________________
x2
14.
3y 2
6x
6
13.
0
Conic_________________________
9 x 2 16 y 2 18 x 96 y 9
0
Conic_________________________
x
2
y
2
Check your answers for 12-14 then use the equations to
4x
8y
29
0
answer the following…
15. The circle has a radius of ______ & and center of___________.
16.
The major axis of the ellipse is horizontal/vertical?
17.
The center of the ellipse is _____________.
18.
The distance between co-vertices of the ellipse is __________.
19.
The distance between vertices of the ellipse is __________.
20.
The transverse axis of the hyperbola is horizontal/vertical?
21.
The center of the hyperbola is _____________.
22.
The EQUATIONS of the asymptotes of hyperbola are
______________________________________________.