Hyperbolic Functions (Grade 11 NSC Matric Mathematics): Flashcards

$y = \frac{a}{x+p} + q$

Lines the graph approaches but never touches

Vertical shift; horizontal asymptote at $y = q$

First and third quadrants

Second and fourth quadrants

Horizontal shift; vertical asymptote at $x = -p$

$x = -p$

$y = q$

$\{x : x \in \mathbb{R}, x \neq -p\}$

$\{y : y \in \mathbb{R}, y \neq q\}$