Question

Sa se determine functia f de gradul al doilea daca :
f(1)= 0 , f(0)= 1, f(-1)= 8

Answer 1

f(x)=ax²+bx+c
f(1)=a+b+c=0
f(0)=c=1
f(-1)=a-b+c=8
a+b+1=0
a-b+1=8
2a+2=8
2a=6, a=3
b=-a-1=-3-1=-4
f(x)=3x²-4x+1