SL 2.11—Graph transformations
- Syllabus
- First assessment 2021
- Objective
- —
- Level
- HL
Apply graph transformations in the correct order
Apply graph transformations in the correct order.
Translations change position, reflections change orientation and stretches change scale; the order matters when transformations are composed.
Worked example
y=2f(x−3) shifts right 3 then stretches vertically by 2.
Worked example
What does f(x−3) do? move the graph right 3, not left.
Common boundary
Inside changes act horizontally with reversed sign; outside changes act vertically.