Write the Standard Form of the Equation of the Parabola $f ( x ) = \frac { 11 } { 36 } ( x - 6 ) ^ { 2 } - 5$

question 371

Multiple Choice

Write the standard form of the equation of the parabola that has a vertex at (-6, -5) and passes through the point (-8, 6) .

• A) \(f ( x ) = \frac { 11 } { 36 } ( x - 6 ) ^ { 2 } - 5\)
• B) \(f ( x ) = - \frac { 5 } { 36 } ( x + 5 ) ^ { 2 } + 8\)
• C) \(f ( x ) = \frac { 11 } { 4 } ( x + 6 ) ^ { 2 } - 5\)
• D) \(f ( x ) = \frac { 3 } { 2 } ( x + 6 ) ^ { 2 } - 8\)
• E) \(f ( x ) = \frac { 5 } { 8 } ( x + 5 ) ^ { 2 } + 6\)

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Definitions:

Variance

A statistical measure of the spread between numbers in a dataset, indicating how much the elements differ from the mean.

Degrees Of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution without violating any constraints.

Student T Distribution

The Student T distribution is a probability distribution that is used to estimate population parameters when the sample size is small and when the population variance is unknown.

Degrees Of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution or a parameter estimation, often representing the amount of independent information available.