Question

Which system is equivalent to
y=-2x^2
y=x-2

A) y=-2y^2-2
x=y-2

B) y=-2y^2+2
x=y+2

C) y=-2y^2-8y-8
x=y+2

D) y=-2y^2+8y-8
x=y-2

Answer 1

Hello,

Answer C.

$\left \{ {{y=-2x^2} \atop {y=x-2}} \right. \\\\\left \{ {{y=x-2} \atop {y=-2x^2}} \right. \\\\\left \{ {{x=y+2} \atop {y=-2(y+2)^2}} \right. \\\\\left \{ {{x=y+2} \atop {y=-2(y^2+4y+4)}} \right. \\\\\left \{ {{x=y+2} \atop {y=-2y^2-8y-8} \right. \\\\\left \{ {{y=-2y^2-8y-8} \atop {x=y+2}} \right.$

Answer 2

Answer:

C. $\left \{ {{y=-2y^{2}-8y-8 } \atop {x=y+2}} \right.$

Step-by-step explanation:

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