Find an Equation in Standard Form for the Ellipse That $( - 1,3 )$

question 121

Multiple Choice

Find an equation in standard form for the ellipse that satisfies the given conditions.
-An ellipse with foci at $( - 1,3 )$ and $( 5,3 )$ ; major axis length of 10

• A) \(\frac { ( x + 3 ) ^ { 2 } } { 25 } + \frac { ( x + 2 ) ^ { 2 } } { 16 } = 1\)
• B) \(\frac { ( x - 2 ) ^ { 2 } } { 25 } + \frac { ( y - 3 ) ^ { 2 } } { 16 } = 1\)
• C) \(\frac { ( y - 3 ) ^ { 2 } } { 25 } + \frac { ( x - 2 ) ^ { 2 } } { 16 } = 1\)
• D) \(\frac { ( x - 3 ) ^ { 2 } } { 25 } + \frac { ( y + 2 ) ^ { 2 } } { 16 } = 1\)

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Definitions:

Potential For Growth

The capability or possibility for an individual or entity to expand or develop in various aspects such as knowledge, physically, or economically.

Individual's Freedom

The rights and liberties that allow an individual to act according to their own will and preferences.

Incongruence

A state of being where there is a discrepancy between one's perceived self and their ideal self, leading to emotional turmoil.

Carl Rogers

An influential American psychologist who founded the humanistic approach to psychology, emphasizing the individual's inherent potential for self-actualization.