Copyright © University of Cambridge. All rights reserved.
'Surprising Transformations' printed from http://nrich.maths.org/
This problem follows on from Translating
I took the graph $y=4x+7$ and performed the four transformations
shown on the cards below.
Unfortunately, I can't remember the order in which I carried
out the four transformations, but I know that I ended up with the
graph of $y=4x-2$.
Find an order in which I could have carried out the
There is more than one way of doing this - can you find them
Try to explain why different orders can lead to the same
What other lines could I have ended up with if I had performed
the four transformations in a different order?