Find the Standard Form of the Equation of the Ellipse $( - 7,4 )$

question 88

Multiple Choice

Find the standard form of the equation of the ellipse satisfying the given conditions.
-Endpoints of major axis: $( - 7,4 )$ and $( 9,4 )$ ; endpoints of minor axis: $( 1 , - 1 )$ and $( 1,9 )$

• A) \(\frac { ( x - 1 ) ^ { 2 } } { 64 } + \frac { ( y - 4 ) ^ { 2 } } { 25 } = 1\)
• B) \(\frac { ( x - 4 ) ^ { 2 } } { 25 } + \frac { ( y - 1 ) ^ { 2 } } { 64 } = 1\)
• C) \(\frac { ( x + 1 ) ^ { 2 } } { 64 } + \frac { ( y - 5 ) ^ { 2 } } { 25 } = 0\)
• D) \(\frac { ( x + 1 ) ^ { 2 } } { 64 } + \frac { ( y - 5 ) ^ { 2 } } { 25 } = 1\)

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Definitions:

Natural Selection

The process by which organisms better adapted to their environment tend to survive and produce more offspring, a fundamental concept in evolutionary biology.

Phenotypes

The observable physical or biochemical characteristics of an organism, as determined by both genetic makeup and environmental influences.

Nonrandom Mating

A mating pattern in which individuals do not mate by chance, but rather according to their genotypes or phenotypes.

Inbreeding

The mating of closely related individuals, leading to an increase in the probability of offspring inheriting genetic disorders and reduced genetic diversity.