Name: 
 

Ellipses



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Write the equation of the ellipse that satisfies the given set of conditions.
 

 1. 

Major axis 6 units long and parallel to the x-axis, minor axis 4 units long, and center at mc001-1.jpg.
a.
mc001-4.jpg
c.
mc001-6.jpg
b.
mc001-5.jpg
d.
mc001-7.jpg
 

 2. 

Major axis 16 units long and parallel to the y-axis, minor axis 14 units long, and center at mc002-1.jpg.
a.
mc002-4.jpg
c.
mc002-6.jpg
b.
mc002-5.jpg
d.
mc002-7.jpg
 

 3. 

Find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse of the equation mc003-1.jpg. Then graph the ellipse.
a.
The coordinates of the center are mc003-8.jpg, and the coordinates of the foci are (2 mc003-9.jpg mc003-10.jpgmc003-11.jpg ). The lengths of the major and minor axes are 30 units and 26 units respectively. The graph of the ellipse is as follows:
mc003-12.jpg
c.
The coordinates of the center are mc003-18.jpg, and the coordinates of the foci are (2 mc003-19.jpg mc003-20.jpgmc003-21.jpg ). The lengths of the major and minor axes are 30 units and 26 units respectively. The graph of the ellipse is as follows:
mc003-22.jpg
b.
The coordinates of the center are mc003-13.jpg, and the coordinates of the foci are (2 mc003-14.jpg mc003-15.jpgmc003-16.jpg). The lengths of the major and minor axes are 15 units and 13 units respectively. The graph of the ellipse is as follows:
mc003-17.jpg
d.
The coordinates of the center are mc003-23.jpg, and the coordinates of the foci are (mc003-24.jpg mc003-25.jpg, 0). The lengths of the major and minor axes are 30 units and 26 units respectively. The graph of the ellipse is as follows:
mc003-26.jpg
 

 4. 

Find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse of the equation mc004-1.jpg. Then graph the ellipse.
a.
The coordinates of the center are mc004-8.jpg, and the coordinates of the foci are (8, mc004-9.jpg mc004-10.jpg mc004-11.jpg).
The lengths of the major and minor axes are 22 units and 18 units respectively. The graph of the ellipse is as follows:
mc004-12.jpg
c.
The coordinates of the center are mc004-18.jpg, and the coordinates of the foci are (8, mc004-19.jpg mc004-20.jpg mc004-21.jpg).
The lengths of the major and minor axes are 5.5 units and 4.5 units respectively. The graph of the ellipse is as follows:
mc004-22.jpg
b.
The coordinates of the center are mc004-13.jpg, and the coordinates of the foci are (8, mc004-14.jpg mc004-15.jpg mc004-16.jpg).
The lengths of the major and minor axes are 22 units and 18 units respectively. The graph of the ellipse is as follows:
mc004-17.jpg
d.
The coordinates of the center are mc004-23.jpg, and the coordinates of the foci are (0, mc004-24.jpg mc004-25.jpg).
The lengths of the major and minor axes are 22 units and 18 units respectively. The graph of the ellipse is as follows:
mc004-26.jpg
 



 
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