Name:    Warmups Topic 7.5

Multiple Choice
Identify the letter of 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 8 units long and parallel to the x-axis, minor axis 6 units long, and center at .
 a. c. b. d.

2.

Major axis 22 units long and parallel to the y-axis, minor axis 20 units long, and center at .
 a. c. b. d.

3.

Find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse of the equation . Then graph the ellipse.
 a. The coordinates of the center are , and the coordinates of the foci are (5  , ). The lengths of the major and minor axes are 11 units and 9 units respectively. The graph of the ellipse is as follows: c. The coordinates of the center are , and the coordinates of the foci are (5  ,  ). The lengths of the major and minor axes are 22 units and 18 units respectively. The graph of the ellipse is as follows: b. The coordinates of the center are , and the coordinates of the foci are ( , 0). The lengths of the major and minor axes are 22 units and 18 units respectively. The graph of the ellipse is as follows: d. The coordinates of the center are , and the coordinates of the foci are (5  ,  ). The lengths of the major and minor axes are 22 units and 18 units respectively. The graph of the ellipse is as follows:

4.

Find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse of the equation . Then graph the ellipse.
 a. The coordinates of the center are , and the coordinates of the foci are (0,  ).The lengths of the major and minor axes are 20 units and 16 units respectively. The graph of the ellipse is as follows: c. The coordinates of the center are , and the coordinates of the foci are (7,   ).The lengths of the major and minor axes are 20 units and 16 units respectively. The graph of the ellipse is as follows: b. The coordinates of the center are , and the coordinates of the foci are (7,   ).The lengths of the major and minor axes are 20 units and 16 units respectively. The graph of the ellipse is as follows: d. The coordinates of the center are , and the coordinates of the foci are (7,   ).The lengths of the major and minor axes are 5 units and 4 units respectively. The graph of the ellipse is as follows: