Describe the Transformations and Give the Equation for the Graph $f ( x ) = \sqrt { x }$

question 282

Multiple Choice

Describe the transformations and give the equation for the graph.
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• A) It is the graph of \(f ( x ) = \sqrt { x }\) translated 7 units to the right, reflected across the \(x\)-axis and translated 8 units down. The equation is \(\mathrm { y } = \sqrt { - \mathrm { x } + 7 } - 8\)
• B) It is the graph of \(f ( x ) = \sqrt { x }\) translated 7 units to the right, reflected across the \(x\)-axis and translated 8 units down. The equation is \(y = - \sqrt { x + 7 } - 8\)
• C) It is the graph of \(f ( x ) = \sqrt { x }\) translated 7 units to the right, reflected across the \(x\)-axis and translated 8 units down. The equation is \(y = - \sqrt { x - 7 } - 8\)
• D) It is the graph of \(f ( x ) = \sqrt { x }\) translated 7 units to the right, reflected across the \(y\)-axis and translated 8 units down. The equation is \(\mathrm { y } = \sqrt { - \mathrm { x } - 7 } - 8\)

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Definitions:

T-Distributions

A family of probability distributions that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.

Degrees Of Freedom

Degrees of freedom are the number of values in a final calculation of a statistic that are free to vary, often linked to the sample size.

Degrees Of Freedom

The number of independent values or quantities that can vary in the analysis without violating any constraint.

Sample Size

The number of observations or data points collected in a study or used in a statistical analysis, crucial for the validity and reliability of results.