NRICH: Surprising Transformations
NRICH: Surprising Transformations
I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?
This problem follows on from Translating Lines and Reflecting Lines.
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.
Can you find an order in which I could have carried out the transformations?
There is more than one way of doing this – can you find them all?
Can you explain why different orders can lead to the same outcome?
What other lines could I have ended up with if I had performed the four transformations in a different order?
Age 14 to 16
NRICH (University of Cambridge)
Math Topics
Algebra & Pre-Algebra, Functions & Graphs, Linear Equations
High School, Educator
9th Grade, 10th Grade, 11th Grade