Which system is equivalent to the given system? y is equal to negative 2 x squared y is equal to x minus 2

From the equation y = x − 2, solve for x to get x = y + 2. Substitute y + 2 for x in y = −2x²: this gives y = −2(y + 2)² = −2y² − 8y − 8. Together, the equivalent system is y = −2y² − 8y − 8 and x = y + 2, which is choice C.

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