Find an Equation for the Ellipse Described $\frac { ( x - 2 ) ^ { 2 } } { 81 } + \frac { ( y - 4 ) ^ { 2 } } { 35 } = 1$

question 67

Multiple Choice

Find an equation for the ellipse described.
-Vertices at (-6, 2) and (14, 2) ; focus at (12, 2)

• A) \(\frac { ( x - 2 ) ^ { 2 } } { 81 } + \frac { ( y - 4 ) ^ { 2 } } { 35 } = 1\)
• B) \(\frac { ( x - 4 ) ^ { 2 } } { 144 } - \frac { ( y + 2 ) ^ { 2 } } { 44 } = 1\)
• C) \(\frac { ( x - 4 ) ^ { 2 } } { 100 } + \frac { ( y - 2 ) ^ { 2 } } { 36 } = 1\)
• D) \(\frac { ( x + 4 ) ^ { 2 } } { 64 } + \frac { ( y + 2 ) ^ { 2 } } { 36 } = 1\)

---

Definitions:

Stressful Events

Incidents or situations that cause significant strain or tension, often requiring adaptation or response from an individual.

Oversensitivity

An exaggerated response in emotion or feeling to external stimuli or situations, often leading to discomfort.

Illness Anxiety Disorder

A psychiatric disorder characterized by excessive worry about having a serious, undiagnosed medical illness, despite few or no medical symptoms.

Bodily Symptoms

Physical signs or complaints reported by an individual, which can be manifestations of psychological distress or physical illness.