Write the Standard Form of the Equation of the Hyperbola $( 2,10 ) , ( 2,0 ) , ( - 10,10 ) , ( - 10,0 )$

question 29

Multiple Choice

Write the standard form of the equation of the hyperbola subject to the given conditions.
-Corners of the reference rectangle: $( 2,10 ) , ( 2,0 ) , ( - 10,10 ) , ( - 10,0 )$ ; Horizontal transverse axis

• A) \(\frac { ( x - 4 ) ^ { 2 } } { 36 } - \frac { ( y + 5 ) ^ { 2 } } { 25 } = 1\)
• B) \(\frac { ( x + 4 ) ^ { 2 } } { 36 } - \frac { ( y - 5 ) ^ { 2 } } { 25 } = 1\)
• C) \(\frac { ( y - 5 ) ^ { 2 } } { 25 } - \frac { ( x + 4 ) ^ { 2 } } { 36 } = 1\)
• D) \(\frac { ( y + 4 ) ^ { 2 } } { 36 } - \frac { ( x - 5 ) ^ { 2 } } { 25 } = 1\)

---

Definitions:

Self-Actualization

The realization or fulfillment of one's talents and potentialities, regarded as a drive or need present in everyone.

Motivated by Needs

The drive or inclination to act or behave in a certain way based on the desire to fulfill basic requirements for survival, security, belonging, esteem, and self-actualization.

Needs for Existence

Basic requirements necessary for survival, such as food, water, shelter, and safety.

Relatedness

The need to have meaningful relationships with others, considered essential for psychological well-being.