Question

O vértice da parabola que representa a função f(x)=2x²-2kx+2m e o ponto v(-2,0). O valor de 2k+2m é?

Answer 1

xv=-b/2a

-2= 2k/4

2k=-8

k= -4

yv= 4ac-b²/4a

0= 4ac-b²/4a

4ac -b² = 0

4ac = b²

4(2)(2m)=4k²

4m= k²

4m= 16

m=4

2k+2m = -8+8 = 0 ✓