Transformations of Power Functions With Positive Integer Index (VCE SSCE Mathematical Methods): Flashcards

$f(x) = x^n$ where $n$ is a positive integer

$y = a(x - h)^n + k$

Controls dilations and reflections

Controls horizontal translation

Controls vertical translation

S-shaped curve

U-shaped curve

Point of zero gradient at $(h, k)$

Turning point at $(h, k)$

At $x = -1, 0, 1$