Find the Center, Foci, and Vertices of the Hyperbola $\frac { ( x - 1 ) ^ { 2 } } { 16 } - \frac { ( y + 2 ) ^ { 2 } } { 1 } = 1$

question 72

Multiple Choice

Find the center, foci, and vertices of the hyperbola. $\frac { ( x - 1 ) ^ { 2 } } { 16 } - \frac { ( y + 2 ) ^ { 2 } } { 1 } = 1$

• A) center: \(( 1 , - 2 )\); vertices: \(( - 3 , - 2 ) , ( 5 , - 2 )\); foci: \(( 1 - \sqrt { 17 } , - 2 ) , ( 1 + \sqrt { 17 } , - 2 )\).
• B) center: \(( 1 , - 2 )\); vertices: \(( - 3 , - 2 ) , ( 5 , - 2 )\); foci: \(( 1 , - 2 - \sqrt { 17 } ) , ( 1 , - 2 + \sqrt { 17 } )\).
• C) center: \(( 1 , - 2 )\); vertices: \(( - 3 , - 2 ) , ( - 5 , - 2 )\); foci: \(( 1 , - 2 - \sqrt { 17 } ) , ( 1 , - 2 + \sqrt { 17 } )\).
• D) center: \(( 1 , - 2 )\); vertices: \(( 1 , - 3 ) , ( 1 , - 1 )\); foci \(( 1 , - 2 - \sqrt { 17 } ) , ( 1 , - 2 + \sqrt { 17 } )\).
• E) center: \(( 1 , - 2 )\); vertices: \(( 1 , - 3 ) , ( 1 , - 1 )\); foci: \(( 1 - \sqrt { 17 } , - 2 ) , ( 1 + \sqrt { 17 } , - 2 )\).

Analyze the role of authority and power in societal structures and the influence of key sociological thinkers.

Assess the historical and contemporary issues surrounding Aboriginal self-government and land rights in Canada.

Understand the evolution and types of economic systems, their implementation, and societal impacts.

Understand the roles and responsibilities in a suretyship relationship, including the rights and obligations of sureties.

---

Definitions:

Panic

A sudden, overwhelming feeling of fear and anxiety that can result in wildly unthinking behavior.

General Adaptation Syndrome

A three-stage response pattern that the body goes through when exposed to stress, including alarm, resistance, and exhaustion phases.

Panic

A sudden, overpowering fear that can result in extreme and often irrational behavior.

Resistance Reaction

The response of an organism against factors that threaten its homeostasis, which can include psychological resistance or immune system response.