Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose $\begin{array} { l } x = t + 5 \\y = t ^ { 2 }\end{array}$

question 38

Multiple Choice

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve.
$\begin{array} { l } x = t + 5 \\y = t ^ { 2 }\end{array}$

• A) \(y = t - 5\)
• B) \(y = x ^ { 2 } + 10 x + 25\)
• C) \(y = x ^ { 2 }\)
• D) \(y = x ^ { 2 } - 10 x + 25\)
• E) \(y = t + 5\)

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Definitions:

Explanandum

The aspect of a phenomenon that is being explained, or the question that an explanation seeks to answer.

Complex

Consisting of many different and connected parts.

Simple

Easily understood or done; presenting no difficulty, or in logic, referring to an uncompounded statement or idea.

Implausible

Something that appears unlikely or difficult to believe based on available evidence or common sense.