Find the Standard Form of the Equation of the Ellipse $( - 5 , - 12 ) , ( - 5 , - 4 )$

question 10

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics. ​
Foci: $( - 5 , - 12 ) , ( - 5 , - 4 )$ ,endpoints of the major axis: $( - 5 , - 16 ) , ( - 5,0 )$ ​

• A) \(\frac { ( x + 5 ) ^ { 2 } } { 64 } + \frac { ( y + 8 ) ^ { 2 } } { 48 } = 1\)
• B) \(\frac { ( x - 5 ) ^ { 2 } } { 48 } + \frac { ( y - 8 ) ^ { 2 } } { 64 } = 1\)
• C) \(\frac { ( x - 8 ) ^ { 2 } } { 64 } + \frac { ( y - 5 ) ^ { 2 } } { 48 } = 1\)
• D) \(\frac { ( x + 8 ) ^ { 2 } } { 64 } + \frac { ( y + 5 ) ^ { 2 } } { 48 } = 1\)
• E) \(\frac { ( x + 5 ) ^ { 2 } } { 48 } + \frac { ( y + 8 ) ^ { 2 } } { 64 } = 1\)

---

Definitions:

Demand-Pull Inflation

Inflation that occurs when aggregate demand in an economy outweighs aggregate supply, leading to an increase in prices.

Cost-Push Inflation

It occurs when the overall prices in an economy increase due to rising costs of wages and raw materials.

Employment

A state of having a paid job or occupation, contributing to an economy's workforce.

Anticipated Inflation

Inflation that is expected to occur in the future, as predicted by current economic indicators and analysis.