Convert the Equation to the Standard Form for an Ellipse $$4 x ^ { 2 } + 16 y ^ { 2 } + 8 x + 96 y + 84 = 0$$

question 122

Multiple Choice

Convert the equation to the standard form for an ellipse by completing the square on x and y.
- $$4 x ^ { 2 } + 16 y ^ { 2 } + 8 x + 96 y + 84 = 0$$

• A) \(\frac { ( x + 1 ) ^ { 2 } } { 16 } + \frac { ( y + 3 ) ^ { 2 } } { 4 } = 1\)
• B) \(\frac { ( x + 3 ) ^ { 2 } } { 16 } + \frac { ( y + 1 ) ^ { 2 } } { 4 } = 1\)
• C) \(\frac { ( x + 1 ) ^ { 2 } } { 4 } + \frac { ( y + 3 ) ^ { 2 } } { 16 } = 1\)
• D) \(\frac { ( x - 1 ) ^ { 2 } } { 16 } + \frac { ( y - 3 ) ^ { 2 } } { 4 } = 1\)

---

Definitions:

SWOT Analysis

A strategic planning technique used to identify and evaluate the Strengths, Weaknesses, Opportunities, and Threats related to a project or business venture.

Job Prospects

The potential opportunities for employment and career advancement in a particular field or profession.

Graduate

A person who has successfully completed a course of study or training, especially a person who has been awarded an undergraduate or first academic degree.

Growth Strategy

Plans and actions aimed at increasing a company's size, revenues, market share, or competitive positioning.