Equations of Hyperbolas

Question 1

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

Revolt · Accepted Answer

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

Question 2

510✔ 1224

Revolt · Accepted Answer

✔ 12

Question 3

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?

Revolt · Accepted Answer

3; 4

Question 4

a:

Revolt · Accepted Answer

5; Selection 1: 5; Selection 2: 12

Question 5

Which equation represents the graph?

Revolt · Accepted Answer

Option A

Question 6

Question 7

Revolt · Accepted Answer

121963

Question 7

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 8

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

Revolt · Accepted Answer

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

Question 9

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 .

Revolt · Accepted Answer

2a; Selection 1: 2a; Selection 2: vertex; Selection 3: center; Selection 4: (c – a)

Question 10

Question 11

Revolt · Accepted Answer

4

Equations of Hyperbolas Answers

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