Describe the Sequence of Transformations From $f ( x ) = | x |$

question 73

Multiple Choice

Describe the sequence of transformations from $f ( x ) = | x |$ to $g$ . Then sketch the graph of $g$ by hand. Verify with a graphing utility. $f ( x ) = | x | + 2$

• A)Vertical shifts down 3 units
• B)Vertical shifts 2 units upward
• C)Horizontal shift 1 unit to the right
• D)Horizontal shifts 4 units to the left
• E)Vertical shifts 3 units upward

---

Definitions:

Implicit Costs

The opportunity costs of using resources owned by the firm for its own use, rather than selling those resources externally.

Economic Profits

The surplus remaining after deducting all costs, including opportunity costs, from total revenues, indicating the financial performance exceeding the break-even point.

Implicit Costs

The opportunity costs that arise from using resources owned by the firm for its own production instead of earning revenue from these resources elsewhere.

Normal Profit

The lowest amount of profit a company must earn to stay competitive and cover its opportunity costs.