Equations of Hyperbolas

Question 1

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

Revolt · Accepted Answer

A: The center is located at (0, 0).; B: There is a vertex at (–6, 0).; E: The directrices are vertical lines.

Question 2

a:

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A: 5

Question 3

Which equation represents the graph?

Revolt · Accepted Answer

A: Option A

Question 4

A hyperbola has a center at the origin, a vertex at (9, 0), and a focus at (41, 0). What is the equation of the hyperbola?

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A:

Question 5

Question 5

Revolt · Accepted Answer

121963

Question 6

The center of a hyperbola is located at (0, 0). One focus is located at (0, 5) and its associated directrix is represented by the line y = . Given the standard form of the equation of a hyperbola, what are the values of a and b? a = b =

Revolt · Accepted Answer

Part 1: 3; Part 2: 4

Question 7

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

Revolt · Accepted Answer

B: There is a focus at (0, 15).; C: y = x is an asymptote.; E: y = is a directrix.

Question 8

In the derivation, the difference between the distances from any point P on a branch of the hyperbola to foci of the hyperbola is set equal to the constant value of .

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B: 2a

Question 9

b:

Revolt · Accepted Answer

C: 12

Question 10

Which graph represents the hyperbola ?

Revolt · Accepted Answer

C:

Equations of Hyperbolas Answers

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