18:53 (watch on YouTube, opens in a new tab)Transformations Part 3: Various modulus transformations | TMUA (watch on YouTube, opens in a new tab)
What changes when you put the modulus inside a function, outside it, or around y? y = |f(x)|, y = f(|x|) and |y| = f(x): which parts are reflected, which are kept, and where new branches appear. Then |x − a| as a distance, and how that helps with sums of moduli and their minimum values. We finish with two worked questions from the JZMaths mock papers, bringing together distance arguments, graphs and composite functions.
- Transformations
- Modulus functions
- Graph sketching
- Composite functions