AnswersPrecalculusConic Sections

Equations of Ellipses Answers

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3

✔ both verticalX both horizontalboth slantedone vertical and one horizontal

A
✔ both vertical
B
X both horizontal
C
both slanted
D
one vertical and one horizontal
4

y = 5.46 and y = -5.46✔ x = 5.46 and x = -5.46X y = 5.46x and y = -5.46xx = 5.46 and y = 5.46

A
y = 5.46 and y = -5.46
B
✔ x = 5.46 and x = -5.46
C
X y = 5.46x and y = -5.46x
D
x = 5.46 and y = 5.46
122443

A and B✔ C and DE and F

Answers:
Complete the statements about the graph. The major axis has endpoints at .:C and D
is a focus of the ellipse.:E
The center of the ellipse is located at .:(0, 0)
The vertices of the ellipse are located at.:C and D
The directrices of the ellipse are lines that are .:perpendicular to the major axis
122444

AX C✔ E

A
A
B
X C
C
✔ E
122445

(0, 7)(3, 0)✔ (0, 0)

A
(0, 7)
B
(3, 0)
C
✔ (0, 0)
122446

A and B✔ C and DX E and F

A
A and B
B
✔ C and D
C
X E and F
122447

✔ perpendicular to the major axisperpendicular to the minor axisparallel to the major axis

A
✔ perpendicular to the major axis
B
perpendicular to the minor axis
C
parallel to the major axis
122448

An ellipse has vertices of (5, 0) and (–5, 0) and covertices of (0, 2) and (0, –2). Use the given information to answer the questions about the ellipse.

Answers:
On which line will the foci be graphed?:y = 0
The foci are located at about .:(4.58, 0) and (-4.58, 0)
Selection 3:both vertical
The directrices are located at about .:x = 5.46 and x = -5.46
122449

An ellipse has vertices of (5, 0) and (–5, 0) and covertices of (0, 2) and (0, –2). Use the given information to answer the questions about the ellipse.

Answers:
On which line will the foci be graphed?:y = 0
The foci are located at about .:(4.58, 0) and (-4.58, 0)
Selection 3:both vertical
The directrices are located at about .:x = 5.46 and x = -5.46
122450

Which statements about the graph are true? Check all that apply.

A
The vertices are at (–3, 0) and (1, 0).
B
The distance between the center and each covertex is 2.
C
The distance between the center and each focus is about 2.2 units.
D
The directrices are about 4 units from the center.
E
Both directrices are vertical lines.
122452

✔ (4.58, 0) and (-4.58, 0)X (5.46, 0) and (-5.46, 0)(0, 4.58) and (0, -4.58)(0, 5.46) and (0, -5.46)

A
✔ (4.58, 0) and (-4.58, 0)
B
X (5.46, 0) and (-5.46, 0)
C
(0, 4.58) and (0, -4.58)
D
(0, 5.46) and (0, -5.46)

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