Equations of Hyperbolas

Question 1

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?

Revolt · Accepted Answer

D: y = ±x

Question 2

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?

Revolt · Accepted Answer

A: = 1

Question 3

The graph of a hyperbola is shown.

Revolt · Accepted Answer

D: (13, 0)

Question 4

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

Revolt · Accepted Answer

A: 10

Question 5

Question 5

Revolt · Accepted Answer

A: = 1

Question 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.

Revolt · Accepted Answer

64811,64814

Question 7

Question 7

Revolt · Accepted Answer

122610

Question 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?

Revolt · Accepted Answer

C: x = ±

Question 9

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

Revolt · Accepted Answer

A: The foci of both graphs are the same points.

Question 10

Question 10

Revolt · Accepted Answer

A: (0, −26)

Equations of Hyperbolas Answers

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