Which parametric equations represent y = – |x|? Check all that apply.x = –t and y = |–t|x = t2 and y = –|t2|x = 2t and y = –|2t|x = t3 and y = |t3|x = t + 4 and y = –|t + 4|

For the curve to represent y = −|x|, the parametrization must make y equal to the negative absolute value of x while allowing x to take every real value. In C, x = 2t ranges over all real numbers and y = −|2t| = −|x|. In E, x = t + 4 also ranges over all real numbers and y = −|t + 4| = −|x|. A and D give y = |x|, while B only covers x ≥ 0.

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