Find an Equation for the Ellipse Described $( - 4 , - 1 )$

question 68

Multiple Choice

Find an equation for the ellipse described. Graph the equation.
-Foci at $( - 4 , - 1 )$ and $( 2 , - 1 )$ ; length of major axis is 10

• A) \(\frac { ( \mathrm { x } + 2 ) ^ { 2 } } { 25 } + \frac { ( \mathrm { y } - 1 ) ^ { 2 } } { 16 } = 1\)
• B) \(\frac { ( x + 1 ) ^ { 2 } } { 25 } + \frac { ( y + 1 ) ^ { 2 } } { 16 } = 1\)
• C) \(\frac { ( y + 2 ) ^ { 2 } } { 25 } + \frac { ( x + 1 ) ^ { 2 } } { 16 } = 1\)
• D) \(\frac { ( x - 2 ) ^ { 2 } } { 25 } + \frac { ( x - 1 ) ^ { 2 } } { 16 } = 1\)

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Definitions:

Organisms Category

Classification of living entities into groups based on shared characteristics, such as species, genus, family, etc., to organize biological diversity.

Aquatic Biomes

Large regions of water in the environment, such as oceans, rivers, lakes, and wetlands, characterized by distinct ecological communities.

Salinity

The concentration of salts in water or soil, an important factor affecting the distribution of plant and animal life, as well as agricultural productivity.

Distribution

In ecology and biogeography, distribution refers to the way in which living organisms are spread out across geographical areas.