Find the Standard Form of the Equation of the Ellipse $( - 6,4 )$

question 2

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics. ​
Center: $( - 6,4 )$ ,a = 5c,foci: $( - 8,4 ) , ( - 4,4 )$ ,where a - thr semimajor axis,b - semiminor axis and $c ^ { 2 } = a ^ { 2 } - b ^ { 2 }$ .

• A) \(\frac { ( x - 6 ) ^ { 2 } } { 96 } + \frac { ( y + 4 ) ^ { 2 } } { 100 } = 1\)
• B) \(\frac { ( x + 6 ) ^ { 2 } } { 96 } + \frac { ( y - 4 ) ^ { 2 } } { 100 } = 1\)
• C) \(\frac { ( x + 6 ) ^ { 2 } } { 100 } + \frac { ( y - 4 ) ^ { 2 } } { 96 } = 1\)
• D) \(\frac { ( x - 4 ) ^ { 2 } } { 100 } + \frac { ( y + 6 ) ^ { 2 } } { 96 } = 1\)
• E) \(\frac { ( x + 4 ) ^ { 2 } } { 100 } + \frac { ( y - 6 ) ^ { 2 } } { 96 } = 1\)

---

Definitions:

Adams' Theory

Refers to Equity Theory, proposed by J. Stacy Adams, which suggests that individuals are motivated by fairness in their work relationships and will adjust their input to maintain equity.

Restoring Equity

The process of attempting to balance perceived disparities in fairness or distribution of resources within social or organizational contexts.

Eustress

Positive stress that can motivate individuals, leading to improved performance and well-being.

Negative Response

An adverse reaction or answer to a stimulus, situation, or question, often reflecting disapproval or dissatisfaction.