Question

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

Answer 1

The wording of your question suggests that there were answer choices.  Mind sharing them?

The system   y=-2x^2 y=x-2 would be best written as:

y=-2x^2 
y=x-2                  If you subst. x-2 for y in the first equation, you'll get:
                           x-2 = -2x^2,   or 2x^2 + x - 2 = 0.
                           

Answer 2

Answer:

Step-by-step explanation:

$y= -2x^{2}\\and\\y =x-2$

substituting y =x-2 in equation first we get

$y= -2x^{2}$

$(x-2)= -2x^{2}$

$2x^{2}+x-2=0$

solving it using quadratic formula we get

x =-1.281 and corresponding y =-3.281

for x =0.781 we have y =-1.219

more over we can graph both given and find the points of intersection from it.