Preveina from Crest Girls' Academy made the following observation:

When I put the input as 0, I perceived that that the output is the product of the numbers that I have replaced. For example, for the initial values of 1 and 3, when the input was 0 the output was 3. When I changed the values in the mapping to 8 and 5, the input of 0 gave an output of 40.

Rajeev from Fair Field Junior School sent us his explorations with quadratic mappings, which you can read here.