AnswersPrecalculusEquations of Ellipses

Equations of Hyperbolas Answers

0 verified answers2 views
1
Free Preview

The graph of a hyperbola is shown.

Question illustration
A
(−12, 0)
B
(0, −5)
C
(0, 0)
D
(13, 0)
2
Free Preview

Question text not available

Question illustration
A
(0, −26)
B
(0, −24)
C
(0, 25)
D
(0, 30)
3

Which graph represents the hyperbola = 1?

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

Which is a true statement comparing the graphs of = 1 and = 1?

Question illustration
A
The foci of both graphs are the same points.
B
The lengths of both transverse axes are the same.
C
The directrices of = 1 are horizontal while the directrices of = 1 are vertical.
Option C
D
The vertices of = 1 are on the y-axis while the vertices of = 1 are on the x-axis.
Option D
5

Question text not available

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

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).
7

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
8

The equation represents a hyperbola centered at the origin with a directrix of .

Question illustration
A
10
B
16
C
20
D
26
9

A hyperbola centered at the origin has a vertex at (0,−40) and a focus at (0, 41). Which are the equations of the asymptotes?

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

Which is a true statement comparing the graphs of = 1 and = 1?

Question illustration
A
The foci of both graphs are the same points.
B
The lengths of both transverse axes are the same.
C
The directrices of = 1 are horizontal while the directrices of = 1 are vertical.
Option C
D
The vertices of are on the y-axis while the vertices of are on the x-axis.
Option D
11

Which graph represents the hyperbola = 1?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

Question text not available

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.
13

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
14

Which statements about the hyperbola are true? Select two options.There is a focus at (0, 12).y = x is an asymptote.y = x is an asymptote.x = is a directrix.y = is a directrix.

Question illustration
A
There is a focus at (0, 12).
B
y = x is an asymptote.
Option B
C
y = x is an asymptote.
Option C
D
x = is a directrix.
Option D
E
y = is a directrix.
Option E

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Equations of Ellipses

Quiz
10 verified answers

Equations of Ellipses

Quiz
22 verified answers

Recursive Formulas