Find the Standard Form of the Equation of the Parabola $( 0,2 )$

question 342

Multiple Choice

Find the standard form of the equation of the parabola with the given characteristics.
Vertex: $( 0,2 )$ ; directrix: $y = 10$

• A) \(x ^ { 2 } = - 32 ( y - 10 )\)
• B) \(y ^ { 2 } = - 32 ( x - 2 )\)
• C) \(x ^ { 2 } = 32 ( y - 2 )\)
• D) \(y ^ { 2 } = 32 ( x - 2 )\)
• E) \(x ^ { 2 } = - 32 ( y - 2 )\)

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Definitions:

Best-subsets Regression

A statistical method in regression analysis that involves comparing models with different combinations of variables to select the best one.

T-test

A statistical test used to determine if there is a significant difference between the means of two groups, which may be related in certain features.

Regression Line

A straight line in a scatter plot that best represents the relationship between two variables, typically used in linear regression analysis to predict values.

Standard Error

A statistical measure that represents the accuracy with which a sample distribution represents a population, particularly the variability in an estimated mean.