Transformations (HSC SSCE Mathematics Advanced): Flashcards

Transformation creating a mirror image

Replace $x$ with $-x$ in the function

$y = f(-x)$

$(x, y)$ maps to $(-x, y)$

$x$-coordinate changes sign, $y$ stays same

Negate the entire function

$y = -f(x)$

$(x, y)$ maps to $(x, -y)$

$y$-coordinate changes sign, $x$ stays same

Remain unchanged