Sketch the Graph of the Function $$f ( x ) = \frac { 1 } { 4 } \log ( x + 2 ) + 4$$

question 16

Multiple Choice

Sketch the graph of the function. Describe how the graph can be obtained from the graph of a basic logarithmic function.
- $$f ( x ) = \frac { 1 } { 4 } \log ( x + 2 ) + 4$$

• A) Shift \(y = \log x\) to the left 2 units, stretch it vertically, and shift up 4 units
• B) Shift \(y = \log x\) to the right 2 units ,shrink it vertically, and shift up 4 units
• C) Shift \(y = \log x\) to the left 2 units, shrink it vertically, and shift down 4 units
• D) Shift \(y = \log x\) to the left 2 units, shrink it vertically, and shift up 4 units

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Definitions:

Capital Structure

The combination of a company's long-term debt, particular short-term debt, common equity, and preferred equity, taken into account for funding its total operations and expansion.

Equity Issue

An equity issue is the release of new shares by a company to the public or certain investors to raise capital.

Debt Outstanding

The total amount of debt that a company or government has yet to repay.

Capital Budgeting

The process of evaluating and selecting long-term investments that are consistent with the firm's goal of wealth maximization.