Dilations (VCE SSCE Mathematical Methods): Flashcards

Stretches or shrinks a graph from a coordinate axis

Vertical transformation

y-coordinates change, x-coordinates stay same

Graph stretches vertically (becomes taller)

$(x, y) \rightarrow (x, by)$

$y = bf(x)$

x-coordinates change, y-coordinates stay same

Graph stretches horizontally (becomes wider)

$(x, y) \rightarrow (ax, y)$

$y = f(\frac{x}{a})$