graph.

This pattern of graphs is the creation of Ali Abu-Hijleh, age 13, from Riccarton High School, Christchurch, New Zealand. Two of the equations are:


y=(x+6)3-2

y=-(x-9)3+3

Find the equations of the other 12 graphs in this pattern.

You could use a graphic calculator or graphing software. For example, you can download Graphmatica for free from here and it comes with a good help file.

Draw your own pattern of graphs.