Study the table. x y –2 8 –1 2 0 0 1 2 2 8 Which best describes the function represented by the data in the table? linear with a common ratio of 4 linear with a common second difference of 4 quadratic with a common ratio of 4 quadratic with a common second difference of 4

Answer- D
By plotting the co-ordinates on x-y graph, we get quadratic curve. So, options A, B are eliminated.To find the first common difference, take y values in sequence and subtract y(i+1) from y(i).8-2=6      2-0= 2      0-2= -2      2-8= -6Now, to find second common difference,subtract the values of first common difference.6-2= 4     2-(-2)= 4    -2-(-6)= 4
So,the answer is quadratic equation with second common difference 4