AnswersPGHS Precalculus BUnit Test

Equations of Ellipses Answers

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1
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The equation represents an ellipse.

Question illustration
A
x = −8.6 and x = 8.6
B
x = −6.6 and x = 10.6
C
y = −8.6 and y = 8.6
D
y = −6.6 and y = 10.6
2
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The center of an ellipse is located at (0, 0). One focus is located at (12, 0), and one directrix is at x = .

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

Which statements about the ellipse are true? Select three options.

A
The center is at (−4, 2).
B
The distance between the center and each covertex is 3 units.
C
The vertices are at (−7, 1) and (−1, 1).
D
Each focus is approximately 2.65 units above or below the center.
E
The directrices are horizontal lines approximately 6 units from the center on the major axis.
4

The equation represents an ellipse.Which points are the vertices of the ellipse?

Question illustration
A
(7, 1) and (7, −5)
B
(7, −10) and (7, 6)
C
(10, −2) and (4, −2)
D
(15, −2) and (−1, −2)
5

Question text not available

Question illustration
A
(−2.2, 4) and (8.2, 4)
B
(−0.8, 4) and (5.2, 4)
C
(3, -1.2) and (3, 9.2)
D
(3, 1.3) and (3, 6.7)
6

The graph of an ellipse is shown.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Question text not available

Question illustration
A
points N and P
B
points O and P
C
points Q and R
D
points S and T
8

Which statements about the ellipse are true? Select three options.

A
The center is at (−2, −5).
B
The distance between the center and each vertex is 10 units.
C
The covertices are at (−2, −4) and (−2, −6).
D
The distance between the center and each focus is units.
Option D
E
The directrices are horizontal lines approximately 5.1 units from the center.
9

An ellipse is represented by the equation .Each directrix of this ellipse is a ________________________ from the center on the major axis.

Question illustration
A
horizontal line that is 5 units
B
vertical line that is 5 units
C
horizontal line that is 33.8 units
D
vertical line that is 33.8 units
10

An ellipse is represented by the equation .Each directrix of this ellipse is a ________________________ from the center on the major axis.

Question illustration
A
horizontal line that is 20 units
B
vertical line that is 20 units
C
horizontal line that is 31.25 units
D
vertical line that is 31.25 units

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Equations of Ellipses Answers — PGHS Precalculus…