A Notation for Transformations (VCE SSCE Mathematical Methods): Flashcards

$(ax+h, by+k)$ where $a eq 0$, $b eq 0$

$mathbb{R}^2$

$(ax+by, cx+dy)$ (no constant terms)

Only when $h=0$ and $k=0$

Swaps $x$ and $y$ coordinates

Point mapped to itself: $T(x,y)=(x,y)$

Apply $S$ first, then apply $T$

Generally no: $T circ S eq S circ T$

$T circ T^{-1}(x,y) = (x,y)$

Result of applying transformation to original $(x,y)$