Find a Set of Parametric Equations for the Rectangular Equation $$y = \frac { ( x - 2 ) ^ { 2 } } { 2 }$$

question 224

Multiple Choice

Find a set of parametric equations for the rectangular equation.
- $$y = \frac { ( x - 2 ) ^ { 2 } } { 2 }$$

• A) \(x = t + 2 ; y = \frac { t ^ { 2 } } { 2 }\)
• B) \(x = t ; y = \frac { t ^ { 2 } - 2 } { 2 }\)
• C) \(x = t ^ { 2 } ; y = \frac { t - 2 } { 2 } , x \geq 4\)
• D) \(x = ( t - 2 ) ^ { 2 } ; y = \frac { t } { 2 } , x \geq 0\)

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Definitions:

Independent Samples

Two or more groups of data that are collected from separate, non-related populations or entities.

Dependent Samples

Pairs of samples where the members of one sample are related or matched to the members of the other sample, often used in before-and-after studies.

Dependent-Samples T Test

A method in statistics for comparing the average differences between two related or matched groups to determine if the differences are not due to random chance.

Regression

A statistical method used to determine the relationship and predict outcomes between dependent and independent variables.