Perpendicular lines
At right angles
Negatively triangular
How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?
Surprising transformations
I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?
Parabolic patterns
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.
What's that graph?
Can you work out which processes are represented by the graphs?
Exploring cubic functions
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
Back fitter
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?
Doesn't add up
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?