Problema Solution
What is the rule for the composite transformation formed by a translation 2 units to the left and 3 units up, followed by a 90 degree counterclockwise rotation?
Answer provided by our tutors
2 to the left: x goes to x+2
3 up: y goes to y+3
90 degree rotation counterclockwise: (x,y) goes to (-y,x)
------
Rule:
If you start with y = x
2 to the left gives y= x+2
then 3 up gives y = x+2+3
or y = x+5
---
then the rotation gives:
x = -y+5
---
Final result is y = -x+5