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

$h = k = 0$

$(5, 11)$

Swaps $x$ and $y$ coordinates

$S$

No, $T \circ S \neq S \circ T$ in general

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

$T^{-1}(x, y) = (\frac{x-4}{2}, \frac{y+6}{3})$

$a = 2$

$\mathbb{R}^2$

$[0, 6]$