A linear equation has a constant slope.
For every step increase in x, there needs to be another step increase in y.
From the table,
x decreases by 2 units
y doesn't decrease by the same unit
So, this cannot be linear relationship.
To see whether it is quadratic or exponential, we graph the (x,y) points and see the general shape of the curve by connecting the points in a smooth curve.
The graph is shown below:
From seeing the graph, it is quite evident that the tabular relationship represents a quadratic function.
Thus, the correct answer is:
B