Find the Vertices and Locate the Foci for the Hyperbola $$16 x ^ { 2 } - 4 y ^ { 2 } = 64$$

question 63

Multiple Choice

Find the vertices and locate the foci for the hyperbola whose equation is given.
- $$16 x ^ { 2 } - 4 y ^ { 2 } = 64$$

• A) vertices: \(( - 2,0 ) , ( 2,0 )\)
• foci: \(( - 2 \sqrt { 5 } , 0 ) , ( 2 \sqrt { 5 } , 0 )\)
• B) vertices: \(( 0 , - 2 ) , ( 0,2 )\)
• foci: \(( 0 , - 2 \sqrt { 5 } ) , ( 0,2 \sqrt { 5 } )\)
• C) vertices: \(( - 2,0 ) , ( 2,0 )\)
• foci: \(( - 2 \sqrt { 3 } , 0 ) , ( 2 \sqrt { 3 } , 0 )\)
• D) vertices: \(( - 4,0 ) , ( 4,0 )\)
• foci: \(( - 2 \sqrt { 5 } , 0 ) , ( 2 \sqrt { 5 } , 0 )\)

---

Definitions:

Aggressive Models

Individuals or representations that exhibit hostile or violent behavior, which can influence others through observational learning or imitation.

Live

To be alive, to exist, or to have life; can also refer to broadcasting or performing in real-time.

Social Learning Theory

A theory that suggests people learn new behaviors and information by watching and imitating others.

Instrumental Learning Theory

A concept in psychology that emphasizes learning through the consequences of our actions, often involving rewards and punishments.