Answer:
g(x)=x²/4
Step-by-step explanation:
g(x)=ax²+bx+c
g(0)=0 => c=0
g(-2)=1 => 4a-2b=1;
g(2)=1 => 4a+2b=1 (+)
8a=2 => a=1/4
4*1/4+2b=1=> b=0
=> g(x)=x²/4
