Which polynomial function could be represented by the graph below?PLEASE ANSWER FAST IM TIMEDa. f(x) = x2 + x – 2b. f(x) = 2x2 + 2x – 4c. f(x) = x2 – x – 2d. f(x) = 2x2 –2x – 4

The parabola passes through the points (-2,0), (0,-4), and (1,0), then these points must satisfy the equation of the parabola.

For example:
1) (0,-4)→for x=0, y=-4→The independent term must be equal to -4
Only option b and d have independent term of -4

2) (1,0)→for x=1, y=0
Equation b. f(1)=2(1)^2+2(1)-4=2(1)+2-4=2+2-4→f(1)=0  Ok
Equation d. f(1)=2(1)^2-2(1)-4=2(1)-2-4=2-2-4→f(1)=-4   No

Answer: Option b. f(x)=2x^2+2x-4