Answer:
The required equation is
Step-by-step explanation:
Consider the provided table.
As we know the standard form of the quadratic equation is 
Substitute x=0 and y=-6 in above standard equation.


Substitute x=1, y=2 and c=-6 in standard equation.




Substitute x=2, y=4 and c=-6 in standard equation.




Substitute value of a in above equation.



Substitute the value of b in 


Hence, the required equation is