Graph the following conic section, identify the vertices, foci, directrices, and asymptotes (if they exist). your work. 1 3-3 sin

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.9: Polar Equations Of Conics
Problem 4E
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Question
Graph the following conic section, identify the vertices, foci, directrices, and asymptotes (if they exist). Use a graphing utility to check
your work.
r=
1
3-3 sin 9
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Express your answer using Cartesian
coordinates.
C
ⒸA. The focus/i is/are (0,0).
(Type an ordered pair. Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. There are no foci.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA.
The directrix/ices is/are y = -
(Type an equation. Use integers or fractions for any numbers in the equation. Use a comma to separate answers as needed.)
OB. There are no directrices.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Express your answer using Cartesian
coordinates.
O A.
The vertex/ices is/are
0.-6
(Type an ordered pair. Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
OB. There are no vertices.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The asymptote/s is/are
(Type an equation. Use integers or fractions for any numbers in the equation. Use a comma to separate answers as needed.)
OB. There are no asymptotes.
Choose the correct graph to the right.
A.
O C.
a
G
OB.
O D.
Q
Q
✔
Transcribed Image Text:Graph the following conic section, identify the vertices, foci, directrices, and asymptotes (if they exist). Use a graphing utility to check your work. r= 1 3-3 sin 9 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Express your answer using Cartesian coordinates. C ⒸA. The focus/i is/are (0,0). (Type an ordered pair. Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. There are no foci. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The directrix/ices is/are y = - (Type an equation. Use integers or fractions for any numbers in the equation. Use a comma to separate answers as needed.) OB. There are no directrices. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Express your answer using Cartesian coordinates. O A. The vertex/ices is/are 0.-6 (Type an ordered pair. Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. There are no vertices. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The asymptote/s is/are (Type an equation. Use integers or fractions for any numbers in the equation. Use a comma to separate answers as needed.) OB. There are no asymptotes. Choose the correct graph to the right. A. O C. a G OB. O D. Q Q ✔
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