Write Equations of Ellipses in Standard Form
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Center At $( - 1,2 )$

question 180

Multiple Choice

Write Equations of Ellipses in Standard Form
-
Center at $( - 1,2 )$

• A) \(\frac { ( x + 1 ) ^ { 2 } } { 36 } + \frac { ( y - 2 ) ^ { 2 } } { 9 } = 1\) foci at \(( - 1 + 3 \sqrt { 3 } , 2 )\) and \(( - 1 - 3 \sqrt { 3 } , 2 )\)
• B) \(\frac { ( x + 1 ) ^ { 2 } } { 9 } + \frac { ( y - 2 ) ^ { 2 } } { 36 } = 1\) foci at \(( 2 + 3 \sqrt { 3 } , - 1 )\) and \(( 2 - 3 \sqrt { 3 } , - 1 )\)
• C) \(\frac { ( x - 2 ) ^ { 2 } } { 9 } + \frac { ( y + 1 ) ^ { 2 } } { 36 } = 1\) foci at \(( - 3 \sqrt { 3 } , 2 )\) and \(( 3 \sqrt { 3 } , 2 )\)
• D) \(\frac { ( x - 2 ) ^ { 2 } } { 36 } + \frac { ( y + 1 ) ^ { 2 } } { 9 } = 1\) foci at \(( - 1 + 3 \sqrt { 3 } , - 1 )\) and \(( - 1 - 3 \sqrt { 3 } , - 1 )\)

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Definitions:

Path Analysis

A specialized form of structural equation modeling used to analyze complex relationships between directly and indirectly related variables.

Factor Analysis

A statistical method used to identify underlying relationships among variables by grouping them into factors based on their correlations.

Simplifies Data

The process of making complex data more understandable and accessible by reducing complexity or focusing on important details.

Correlation

A statistical measure that describes the extent to which two variables change together, but doesn't necessarily indicate causation.