Dilations (HSC SSCE Mathematics Advanced): Flashcards

Transformation stretching/compressing curve in one direction

Replace $y$ with $\frac{y}{a}$

The $x$-axis

Replace $x$ with $\frac{x}{a}$

The $y$-axis

Same dilation factor applied horizontally and vertically

Creates similar figure to original

Compresses (squashes) the graph

Combines dilation with reflection

$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$