On the same set of axes, consider the graphs of y=x2 and y=x+2.
a. (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.
b. (ii) Draw the straight line y=x+2 on the same axes.
c. (iii) From the resulting figure, write the coordinates of all intersection point(s) of the two graphs.
d. (iv) Verify algebraically that each point of intersection satisfies both equations.