Describe How to Transform the Graph of the Basic Function $$f ( x ) = \ln ( - x ) - 4 ; g ( x ) = \ln x$$

question 147

Multiple Choice

Describe how to transform the graph of the basic function g(x) into the graph of the given function f(x) .
- $$f ( x ) = \ln ( - x ) - 4 ; g ( x ) = \ln x$$

• A) Reflect across the \(x\)-axis and translate 4 units to the left.
• B) Reflect across the \(y\)-axis and translate 4 units down.
• C) Reflect across the \(y\)-axis and translate 4 units to the left.
• D) Reflect across the \(x\)-axis and translate 4 units down.

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Definitions:

Future Value

The estimated value of an investment at a specified date in the future, given a certain rate of interest or rate of return.

Annuity Factor

A factor used to calculate the present value of an annuity, representing the number of payment periods.

Compound Interest

The interest computed on the principal and any interest earned that has not been paid or withdrawn.

Principal

The original sum of money borrowed in a loan, or the amount of the loan outstanding at any given time, excluding any interest.