Roofing
Here is a sad house with no roof. In fact the roof is lying at the side waiting to be installed. Your job is to move it into place. Here’s what you know.
The roof graph is a member of the family of curves:
A number of members of this family are plotted at the left. Can you guess what the different k-values are?
What you need to find is the value of 𝑘 squared. Looking through your files you found something that might help––a schematic of the installed roof showing the vertical distance between the peak and the flat roof to be √2.
That, together with the fact that the house has width 6, should give you all the information you will need.
When you’ve done that, you might be invited to report to the neighbourhood Jupyter Notebook and write an animation that will put the roof in place.