Describe How to Transform the Graph of the Basic Function $f ( x ) = - 5 \ln ( - x ) ; \quad g ( x ) = \ln x$

question 123

Multiple Choice

Describe how to transform the graph of the basic function g(x) into the graph of the given function f(x) .
- $f ( x ) = - 5 \ln ( - x ) ; \quad g ( x ) = \ln x$

• A) Reflect across the \(x\)-axis and the \(y\)-axis and translate5 units down.
• B) Reflect across the \(y\)-axis and vertically stretch by a factor of 5 .
• C) Reflect across the \(x\)-axis and translate 5 units down.
• D) Reflect across the \(x\)-axis and the \(y\)-axis and vertically stretch by a factor of 5 .

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Definitions:

Significance Level

The threshold at which the results of statistical analysis are considered to indicate a statistically significant difference from the null hypothesis.

Hypotheses Testing

A method of statistical inference used to decide whether there is enough evidence in a sample of data to support a particular belief or hypothesis about a population parameter.

r Values

Statistical measures representing correlation coefficients that indicate the strength and direction of a linear relationship between two variables.

Spearman Rank-Correlation

A nonparametric measure of rank correlation that assesses how well the relationship between two variables can be described by a monotonic function.