AnswersMO-Algebra II A-CRPerforming Operations with Complex Numbers

Equations of Hyperbolas (continued) Answers

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1
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The foci and the directrices of the hyperbola are labeled.

Question illustration
A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
2
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What are the foci of the hyperbola whose equation is = 1?

Question illustration
A
(1,−7) and (11,−7)
B
(2,−7) and (10,−7)
C
(6,−12) and (6,−2)
D
(6,−10) and (6,−4)
3

Question text not available

Question illustration
A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
4

Question text not available

Question illustration
A
A
B
B
C
C
D
D
5

The vertices of a hyperbola are located at (3, −6) and (3, 6). The foci of the same hyperbola are located at (3,−10) and (3, 10). What is the equation of the hyperbola?

A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
6

Question text not available

Question illustration
A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
7

Question text not available

Question illustration
A
(−11,−4)
B
(−3,−4)
C
(2,−4)
D
(2, 8)
8

The foci and the vertices of the hyperbola are labeled.

Question illustration
A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
9

The vertices of a hyperbola are located at (−4, 1) and (4, 1). The foci of the same hyperbola are located at (−5, 1) and (5, 1).What is the equation of the hyperbola?

A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
10

A hyperbola has its foci at (7, 5) and (7, −5). A directrix of the hyperbola is y = .What is the equation of the hyperbola?

Question illustration
A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
11

What is the center of the hyperbola whose equation is = 1?

Question illustration
A
(−6, 3)
B
(−3, 6)
C
(3,−6)
D
(6,−3)
12

One focus of a hyperbola is located at (−6, 2). One vertex of the hyperbola is located at (−4, 2). The center is (−1, 2).What is the equation of the hyperbola?

A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
13

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

A
There is a focus at (0, 4).
B
There is a vertex at (–4, 0).
C
There is a directrix units from the center.
Option C
D
There is an asymptote with a slope of
Option D
E
The center is (0,–1).
14

1245

A
1
B
2
C
4
D
5
15

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

A
There is a vertex at (–5, 2).
B
The center of the hyperbola is at (–2, 2).
C
There is a vertex at (–2, 7).
D
The transverse axis is vertical.
E
The directrices are vertical lines.
16

What are the vertices of the hyperbola whose equation is = 1?

Question illustration
A
(−17,−6) and (1,−6)
B
(−15,−6) and (−1,−6)
C
(−8,−15) and (−8, 3)
D
(−8,−13) and (−8, 1)

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Equations of Hyperbolas (continued)