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.

Knowing two of the equations find the equations of the 12 graphs of cubic functions making this pattern.

Can you adjust the curve so the bead drops with near constant vertical velocity?

Substitute -1, -2 or -3, into an algebraic expression and you'll get three results. Is it possible to tell in advance which of those three will be the largest ?

Can you work out the equations of the trig graphs I used to make my pattern?

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

Explore the relationship between quadratic functions and their graphs.

Can you work out which processes are represented by the graphs?

A collection of short Stage 4 problems on graphs of functions.