Starter of the Week 14: On reflection
We start with the curve:
What is the equation formed when f(x) is subject to the following transformations:
(a) Reflection in the line y = 2
(b) Reflection in the line y = x+2
(c) Reflection in the line y = x+c
Level of difficulty: Accessible for strong SL and HL students
Syllabus knowledge required: Quadratics and function notation
This would be a good starter when doing transformations and inverses – students could also explore how this can be plotted on Geogebra and think about possible extensions to create an exploration topic.
You can download a pdf of the solution here.