Find an Equation for the Conic That Satisfies the Given $( \pm 1,6 )$

question 52

Multiple Choice

Find an equation for the conic that satisfies the given conditions. ellipse, foci $( \pm 1,6 )$ , length of major axis 8

• A) \(6 x ^ { 2 } = y\)
• B) \(\frac { x ^ { 2 } } { 16 } + \frac { ( y - 6 ) ^ { 2 } } { 15 } = 1\)
• C) \(\frac { ( x - 6 ) ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 15 } = 1\)
• D) \(\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 15 } = 1\)
• E) \(36 x ^ { 2 } = y\)

---

Definitions:

Leadership Style

The characteristic approach and manner in which a leader directs, motivates, guides, and manages their team or organization.

Openness to Experience

A personality trait that describes the extent to which a person is open to experiencing a variety of activities, ideas, and feelings.

Vibrant Imagination

Refers to a vivid and creative thought process that enables individuals to generate innovative ideas and solutions.

Openness to Experience

A personality trait characterized by a willingness to try new things, be creative, and think in abstract ways.