Step-by-step explanation:
since there are answer options we don't need to formally solve the system of equations, we only need to try the first point of every option, and see, where the equations are true.
if we cannot find it for the first point, then we would need to try the same thing for the serving points.
let's put (0, 6) into the first equation :
-2×0² + 6 = 6
6 = 6 true
let's put it into the second equation ;
4×0² + 3×6 = 28
18 = 28 false
that eliminates the first 2 answers.
let's put (-1, 4) into the first equation :
-2×(-1)² + 4 = 6
-2×1 + 4 = 6
-2 + 4 = 6
2 = 6 false
that eliminates the third answer.
let's put (-1, 8) into the first equation :
-2×(-1)² + 8 = 6
-2 + 8 = 6
6 = 6 true
let's put it into the second equation :
4×(-1)² + 3×8 = 28
4 + 24 = 28
28 = 28 true
and because the square function delivers the same result for -1 and +1, it is also true for the second point.
and the 4th answer is therefore correct.
