Quadratic functions and graphs

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

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

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

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.

Explore what happens when you draw graphs of quadratic equations with coefficients based on a geometric sequence.

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 ?

Take a few whole numbers away from a triangle number. If you know the mean of the remaining numbers can you find the triangle number and which numbers were removed?

An inequality involving integrals of squares of functions.

Here is a pattern composed of the graphs of 14 parabolas. Can you find their equations?

This is a beautiful result involving a parabola and parallels.