AnswersPrecalculusEquations of Hyperbolas

Equations of Hyperbolas Answers

10 verified answers2 views
1
Free Preview

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
2
Free Preview

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
3

The graph of a hyperbola is shown.

Question illustration
A
(−12, 0)
B
(0, −5)
C
(0, 0)
D
(13, 0)
4

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

Question illustration
A
10
B
16
C
20
D
26
5

Question text not available

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

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
7

Question text not available

Answer not available
8

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
9

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
10

Question text not available

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

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Equations of Hyperbolas (continued)

Quiz
10 verified answers

Equations of Hyperbolas

Quiz
10 verified answers

Equations of Hyperbolas (continued)

Equations of Hyperbolas Answers — Precalculus