If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
The illustration shows the graphs of fifteen functions. Two of them have equations $y=x^2$ and $y=-(x-4)^2$. Find the equations of all the other graphs.
This task develops knowledge of transformation of graphs. By framing and asking questions a member of the team has to find out which mathematical function they have chosen.
Can you work out which processes are represented by the graphs?
This is a beautiful result involving a parabola and parallels.
