Here is a pattern for you to experiment with. This one is composed of the graphs of 14 parabolas. You may like to use a graphic calculator or graph drawing software to do this question. For example you can download Graphmatica for free from http://www8.pair.com/ksoft.

The equations of three of the graphs are:


y =
2(x−6)2−4
y =
2x2 −1
y =
−2(x−4)2 +3

Graph of equations.

Find the equations of the other 11 graphs in this pattern. Draw your own pattern and send it to us.