Combinations of Transformations (VCE SSCE Mathematical Methods): Flashcards

Different sequences produce different results

Primed coordinates $(x', y')$

Rearrange to write $x$ and $y$ in terms of $x'$ and $y'$

Substitute into original equation

$y = -2\sqrt{x}$

$y = 2\sqrt{x - 2} - 3$

$y = 2\sqrt{6 - x}$

Draw each stage separately

Graphing calculator

$(x, y) \to (x, 2y) \to (x, -2y)$