Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose $\begin{array} { l } x = | t - 1 | \\y = t + 5\end{array}$

question 172

Multiple Choice

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. $\begin{array} { l } x = | t - 1 | \\y = t + 5\end{array}$

• A) \(x = | y - 1 | \text { OR } y = x + 1 , x \geq 0 \text { and } y = - x + 6 , x \geq 0\)
• B) \(x = | y - 6 | \text { OR } y = x + 6 , x \geq 0 \text { and } y = - x + 6 , x \geq 0\)
• C) \(x = | y + 6 | \text { OR } y = x + 6 , x \geq 0 \text { and } y = x + 6 , x \geq 0\)
• D) \(x = | y - 5 | \text { OR } y = x + 5 , x \geq 0 \text { and } y = - x + 6 , x \geq 0\)
• E) \(x = | y + 5 | \text { OR } y = x - 1 , x \geq 0 \text { and } y = - x + 5 , x \geq 0\)

---

Definitions:

Nonmaleficence

A principle in ethics, particularly in healthcare, that emphasizes avoiding harm or injury to others.

Dual Responsibilities

The situation where an individual simultaneously bears two sets of obligations or duties, often in the context of work-life balance.

Participant Autonomy

The degree to which individuals in a study or activity have the freedom to act independently and make their own choices.

Potential Participants

Individuals who meet the criteria to be included in a research study and have the possibility of being chosen to participate.