On the same set of axes, consider the graphs of y=x2 and y=x+2.
(i) Prepare a table of at least seven integer x-values from −3 to 3 and the corresponding y-values for y=x2, then plot the curve.
(ii) Draw the straight line y=x+2 on the same axes.
(iii) From the resulting figure, write the coordinates of all intersection point(s) of the two graphs.
(iv) Verify algebraically that each point of intersection satisfies both equations.