### Quartics

Investigate the graphs of y = [1 + (x - t)^2][1 + (x + t^)2] as the parameter t varies.

### Sine Problem

In this 'mesh' of sine graphs, one of the graphs is the graph of the sine function. Find the equations of the other graphs to reproduce the pattern.

### Cocked Hat

Sketch the graphs for this implicitly defined family of functions.

# Folium of Descartes

##### Stage: 5 Challenge Level:

Invistigate symmetry by exchanging $x$ and $y$ in the equation of the graph.

The question itself gives you guidance as to the methods to use.