**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

**Teacher notes:**

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.

### Like this:

Like Loading...