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:

\begin{matrix} y = & 2 (x - 6)^{2} - 4 \\ y = & 2 x^{2} - 1 \\ y = & - 2 (x - 4)^{2} + 3 \end{matrix}

Graph of equations.

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