Describe How to Transform the Graph of the Basic Function $$f ( x ) = - \log ( x + 6 ) ; \quad g ( x ) = \log x$$

question 108

Multiple Choice

Describe how to transform the graph of the basic function g(x) into the graph of the given function f(x) .
- $$f ( x ) = - \log ( x + 6 ) ; \quad g ( x ) = \log x$$

• A) Translate 6 units to the right then reflect across the \(y\)-axis.
• B) Translate 6 units to the right then reflect across the \(x\)-axis.
• C) Translate 6 units to the left then reflect across the \(x\)-axis.
• D) Translate 6 units to the left then reflect across the \(y\)-axis.

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Definitions:

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Variation

The extent to which data points in a dataset differ from each other and from the mean of the dataset; critical in statistical analysis for understanding data dispersion.

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