AnswersPrecalculusEquations of Hyperbolas

Equations of Hyperbolas Answers

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Question illustration
A
The point (3.6, 0) is the directrix.
B
The point (−3.6, 0) is the center.
C
The point (2, 0) is a focus.
D
The point (−2, 0) is a vertex.
2
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A hyperbola centered at the origin has a vertex at (−6, 0) and a focus at (10, 0). Which are the equations of the directrices?

Question illustration
A
x = ±
Option A
B
y = ±
Option B
C
x = ±
Option C
D
y = ±
Option D
3

Question text not available

Question illustration
A
The point (−3, 0) is a focus.
B
The point (3, 0) is a vertex.
C
The transverse axis passes through the point (0, 2).
D
The transverse axis has an endpoint at (5, 0).
4

The graph of a hyperbola is shown.

Question illustration
A
(−12, 0)
B
(0, −5)
C
(0, 0)
D
(13, 0)
5

Which graph represents the hyperbola = 1?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

The center of a hyperbola is located at the origin. One focus is located at (−50, 0) and its associated directrix is represented by the line x= .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
7

Question text not available

Question illustration
A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
8

Which graph represents the hyperbola = 1?

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

A hyperbola centered at the origin has a vertex at (0, 36) and a focus at (0, 39). Which are the equations of the directrices?

Question illustration
A
x = ±
Option A
B
y = ±
Option B
C
x = ±
Option C
D
y = ±
Option D
10

Question text not available

Question illustration
A
(0, −26)
B
(0, −24)
C
(0, 25)
D
(0, 30)

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Equations of Hyperbolas Answers — Precalculus