Find the Standard Form of the Equation of the Ellipse $\frac { ( x - 2 ) ^ { 2 } } { 4 } + \frac { ( y + 4 ) ^ { 2 } } { 16 } = 1$

question 96

Multiple Choice

Find the standard form of the equation of the ellipse satisfying the given conditions.
-Endpoints of major axis: (2, -8) and (2, 0) ; endpoints of minor axis: (0, -4) and (4, -4) ;

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

---

Definitions:

Transfer

The act of moving money or goods from one place, account, or person to another.

Classified by Purpose

A method of grouping or categorizing items according to their intended use or role within a system or process.

Profit

The financial gain achieved when the revenues generated from business activities exceed the expenses, costs, and taxes needed to sustain those activities.

Not-for-Profit

An organization that operates for purposes other than making a profit, often focusing on social, educational, or charitable activities.