Find the Center and Foci of the Ellipse $$\frac { ( x - 9 ) ^ { 2 } } { 32 } + \frac { ( y + 5 ) ^ { 2 } } { 36 } = 1$$

question 86

Multiple Choice

Find the center and foci of the ellipse.
$$\frac { ( x - 9 ) ^ { 2 } } { 32 } + \frac { ( y + 5 ) ^ { 2 } } { 36 } = 1$$

• A) center: \(( - 9,5 ) \quad\) foci: \(( - 9,3 ) , ( - 9,7 )\)
• B) center: \(( 9 , - 5 ) \quad\) foci: \(( 9 , - 7 ) , ( 9 , - 3 )\)
• C) center: \(( 9 , - 5 ) \quad\) foci: \(( 7 , - 5 ) , ( 11 , - 5 )\)
• D) center: \(( - 9,5 ) \quad\) foci: \(( - 11 , - 5 ) , ( - 7 , - 5 )\)
• E) center: \(( 9 , - 5 ) \quad\) foci: \(( - 11,5 ) , ( - 7,5 )\)

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Definitions:

Random Assignment

A method used in experiments to evenly distribute participants across various experimental conditions, minimizing biases and ensuring statistical validity.

Generalizable

The extent to which findings from a study or research can be applied to larger populations or different contexts beyond the original subjects.

Internally Valid

The degree to which the results of an experiment can be attributed to the manipulation of the independent variable rather than other factors.

Laboratory Conditions

Refers to a controlled environment where experiments are conducted, allowing for precise manipulation and measurement of variables.