If a curve is defined by the parametric equations x(t) = 2t

Last updated: 8/11/2022

If a curve is defined by the parametric equations x(t) = 2t and y(t) = -4t² - 2 over the interval - 2 ≤ t ≤ 2, which of the following gives the correct equation and domain of the path of the particle? (A) y = -2x² - 1, -2 ≤ x ≤ 2 (B) y = -x² - 2, - 2 ≤ x ≤ 2 (C) y = -x² - 2, -4 ≤ x ≤ 4 (D) y = x² - 2, -2 ≤ x ≤ 2 (E) y = x² - 2, -4 ≤ x ≤ 4