8
QuizMultiple Choice

Graphing Parametric Equations

Question 8 • Precalculus

Which rectangular equation is formed by eliminating the parameter?y = t3x = t + 5

Answer
A
y = x3 – 125
B
y = x3 + 125
C
y = x3 – 5x2 + 25x – 125
D
y = x3 – 15x2 + 75x – 125

Explanation

From x = t + 5, solve for the parameter: t = x − 5. Substitute into y = t³ to get y = (x − 5)³ = x³ − 15x² + 75x − 125, which is choice D.

AI-written and checked against the verified answer.

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