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

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.