Equations of Hyperbolas (continued)

Question 1

What are the vertices of the hyperbola whose equation is = 1?

Revolt · Accepted Answer

(–5, 5) and (–1, 5)

Question 2

X 4✔ 5 8 10

Revolt · Accepted Answer

✔ 5

Question 3

✔ 3 4 6X 9

Revolt · Accepted Answer

✔ 3

Question 4

3/4X 3/54/5✔ 4/3

Revolt · Accepted Answer

✔ 4/3

Question 5

Complete the statements about the key components of the hyperbola shown.

Revolt · Accepted Answer

✔ 4; The distance, a, between the center and each vertex is units.: 4; The distance, c, between the center and each focus is units.: 5; Use the equation c2 = a2 + b2 to determine the value of b. b =: 3; The slope of an asymptote is .: 4/3

Question 6

A hyperbola centered at (4, –1) has a vertex at (4, 6) and a focus at (4, 24). Write the equation of the hyperbola by completing the statements below.

Revolt · Accepted Answer

The quantity squared over a squared will be written first in the equation.: y + 1; The quantity squared over b squared will be written second in the equation.: x – 4; The value of a is .: 7; The value of b is .: 24

Question 7

Which equation represents the graph?

Revolt · Accepted Answer

= 1

Question 8

A hyperbola centered at (4, –1) has a vertex at (4, 6) and a focus at (4, 24). Write the equation of the hyperbola by completing the statements below.

Revolt · Accepted Answer

✔ y + 1; The quantity squared over a squared will be written first in the equation.: y + 1; The quantity squared over b squared will be written second in the equation.: x – 4; The value of a is .: 7; The value of b is .: 24

Question 9

✔ x – 4x + 1y – 4X y + 1

Revolt · Accepted Answer

✔ x – 4

Question 10

4 5 6✔ 7

Revolt · Accepted Answer

✔ 7

Equations of Hyperbolas (continued) Answers

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