Which rectangular equation is formed by eliminating the parameter? y is equal to t cubed x is equal to t plus 5
Answer
A
y is equal to x cubed minus 15 x squared plus 75 x minus 125
B
y is equal to x cubed minus 125
C
y is equal to x cubed minus 5 x squared plus 25 x minus 125
D
y is equal to x cubed plus 125
Explanation
From x = t + 5, solve for the parameter: t = x − 5. Substitute this into y = t³ to get y = (x − 5)³. Expanding gives y = x³ − 15x² + 75x − 125, which is choice A.
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