An Equation of a Parabola Is Given $$x ^ { 2 } - 8 x - 16 y - 16 = 0$$

question 14

Multiple Choice

An equation of a parabola is given. Write the equation of the parabola in standard form, and identify the
vertex and the focus.
- $$x ^ { 2 } - 8 x - 16 y - 16 = 0$$

• A) \(( x - 4 ) ^ { 2 } = 16 ( y + 2 )\)
• vertex: \(( - 2,4 )\); focus \(( 2,4 )\)
• B) \(( x - 4 ) ^ { 2 } = 16 ( y + 2 )\)
• vertex: \(( - 4,2 )\); focus \(( - 4,6 )\)
• C) \(( x + 4 ) ^ { 2 } = 16 ( y - 2 )\)
• vertex: \(( - 4,2 )\); focus \(( - 4,6 )\)
• D) \(( x - 4 ) ^ { 2 } = 16 ( y + 2 )\)
• vertex: \(( 4 , - 2 )\); focus \(( 4,2 )\)

---

Definitions:

Dominance

The phenomenon whereby an individual asserts control in a social or ecological context.

Leadership Role

A position that requires guiding, directing, and influencing the behavior and work of others towards achieving specific goals.

Vocational Fit

The degree to which a person's skills, interests, and values align with their chosen profession or job.

Personality Mismatches

Situations where there is a lack of alignment between an individual's personality traits and the demands or culture of their environment.