Which parametric equations represent y = – |x|? Check all that apply.

For the equations to represent y = −|x|, x must range over all real numbers and y must equal the negative absolute value of that same x. In C, x = 2t covers all real numbers, and y = −|2t| = −|x|. In E, x = t + 4 also covers all real numbers, and y = −|t + 4| = −|x|. Choice B covers only x ≥ 0, while A and D have the wrong sign for y.

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