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

Multiplying the function by a constant factor greater than $1$.

Graph moves further from the $x$-axis, appears taller.

A vertical stretch by a factor of $|a|$.

Inputs $x$ are multiplied by a fraction less than $1$.

Graph moves away from the $y$-axis, appears wider.

A horizontal stretch by a factor of $|b|$.

$y = 2x^2$ is a vertical stretch by a factor of 2.

$y = (x/2)^2$ is a horizontal stretch by a factor of 2.

Check if it affects output (vertical) or input (horizontal).

Period increases to $4\pi$; it repeats less often.