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

question 49

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:

Government Officials

Government officials are individuals who hold positions of authority and responsibility in government organizations, making decisions and implementing policies.

Personal Judgment

The use of individual reasoning and belief systems in making decisions or forming opinions.

Intuition

The ability to understand or know something immediately, based on feelings rather than facts or evidence.

Scientific Investigations

A systematic process of inquiry and experimentation aimed at discovering new knowledge or verifying existing knowledge.