Find the Standard Form of the Equation of the Parabola $\left( 0 , \frac { 1 } { 2 } \right)$

question 67

Multiple Choice

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. Focus: $\left( 0 , \frac { 1 } { 2 } \right)$

• A) \(x ^ { 2 } = \frac { 2 } { 4 } y\)
• B) \(y ^ { 2 } = \frac { 2 } { 4 } x\)
• C) \(y ^ { 2 } = \frac { 4 } { 2 } x\)
• D) \(x ^ { 2 } = \frac { 4 } { 2 } y\)
• E) \(y ^ { 2 } = x\)

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Definitions:

Regression Analysis

A statistical method for examining the relationship between a dependent variable and one or more independent variables.

Least Squares Line

The least squares line refers to the line of best fit in linear regression, minimizing the sum of the squared differences between observed and predicted values.

Predicted Amount

The estimated value of a variable or outcome according to a model or predictor variable(s).

Residuals

The differences between observed and predicted values of data, used in statistical models to analyze the goodness of fit.