Example 1.   Plot the graph y = x² + 7x + 6 when x is between −9 and 2

(a) Using a table work out the values of y
   y = x² + 7x + 6

(b) The coordinates of the above are
     (−9, 24), (−8, 14), (−7, 6), (−6, 0), (−5, −4), (−4, −6), (−3, −6), (−2, −4), (−1, 0), (0, 6), (1, 14) and (2, 24)

(c) Plot the above coordinates and draw a line through these points

Example 2.   Plot the graph y = x² − 11x + 30 when x is between 0 and 11

(a) Using a table work out the values of y
   y = x² − 11x + 30

(b) The coordinates of the above are
     (0, 30), (1, 20), (2, 12), (3, 6), (4, 2), (5, 0), (6, 0), (7, 2), (8, 6), (9, 12), (10, 20) and (11, 30)

(c) Plot the above coordinates and draw a line through these points