Reciprocal Graphs - Sketching (AQA A-Level Mathematics): Flashcards

$y = \frac{k}{x}$ where $k$ is a constant

$y = \frac{k}{ax + b}$

Graph approaches a line but never touches it

$x = 0$

$y = 0$

Rotational symmetry of 180° about the origin

First and third quadrants

Second and fourth quadrants

Set $ax + b = 0$ and solve for $x$

Approaches asymptotes but never touches them