Equations of Hyperbolas (continued) — Unit test

Question 4 • TX-Precalculus B-CR

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

Answer

y = x3 – 125

y = x3 + 125

y = x3 – 5x2 + 25x – 125

y = x3 – 15x2 + 75x – 125

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.

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Equations of Hyperbolas (continued)

Infinite Geometric Series

Equations of Hyperbolas (continued)