Horizontal and Vertical Translations (HSC SSCE Mathematics Advanced): Flashcards

Moves every point by same distance in same direction

$y = f(x - a)$

Right by $a$ units

Left by $|a|$ units

$x$-coordinates

$y = f(x) + b$

Up by $b$ units

Down by $|b|$ units

$y$-coordinates

$y = f(x - a) + b$