Graph transformations

Builds y = a·f(b(x − h)) + k from y = f(x) one move at a time: horizontal scale, shift, vertical scale, shift.

Parameters

Parent function f(x)Use * for products: 3*x^2 - 1Vertical scale aHorizontal factor bHorizontal shift hVertical shift k

Frame

Style

720p preview, watermarked, no credits · About 31s

Live sketch. The film is rendered by Manim, with captions and motion.

Storyboard

Key values in the video