Question

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 1

Answer: The answer is D. quadratic with a common second difference if 4

Explanation:

Answer 2

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= -6

Now, 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