Graphs of Functions (Edexcel A-Level Mathematics): Flashcards

$y = k/x$ or $y = k/(ax + b)$

Set $ax + b = 0$ to find it.

$y = 0$ as $x$ approaches $±\infty$.

Substitute specific $x$ values to calculate $y$.

It has 180-degree rotational symmetry about the origin.

It lies in the first and fourth quadrants.

$y = k$ when $x = 1$.

It approaches its asymptotes.

It has asymptotes at $x = 0$ and $y = 0$.

Identify new asymptotes and key points based on transformation.