problem
Parabolic patterns
Age
14 to 18
Challenge level
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.
problem
Parabella
Age
16 to 18
Challenge level
This is a beautiful result involving a parabola and parallels.
problem
Intersections
Age
14 to 18
Challenge level
Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?
problem
Tangled trig graphs
Age
16 to 18
Challenge level
Can you work out the equations of the trig graphs I used to make my pattern?
problem
Curve match
Age
16 to 18
Challenge level
Which curve is which, and how would you plan a route to pass between them?
problem
Erratic quadratic
Age
16 to 18
Challenge level
Can you find a quadratic equation which passes close to these
points?
problem
Whose line graph is it anyway?
Age
16 to 18
Challenge level
Which line graph, equations and physical processes go together?