The equation that is true for all the values in the table is:
[tex]y=x^2+2[/tex]
This comes from the fact that is we plug the value from x given in the table we get the value of y.
Therefore the answer is D.
To graph the points on the table we need to recognize each column of the table as point on the plane. Then we have the points (0,2) (1,3) (2,6) (3,11). Now to graph this points we have to remember that the first coordinate represents the number of units we have to move in the x axis (horizontal axis) and the second coordinate represents the number of units we move in the y-axis (vertical axis). If we have positive numbers in the point that means that we move to the right or up, repectively; otherwise we move to the left or down directions. With this in mind we have that the points in the plane are:
