Animated parabolas

Animated parabolas

Makes an animated gif of parabolas.

2025.Feb.22 22:27:30

Max a

y = −a x² + 0 x + (x₀)²

Maximum (abs) a for parabola.

x₀, Δx

Left and right x values, and step.

nparab, delay

N. of parabolas in animation, delay (0.01 s).

Show values

Show graph coordinates.

Draws 'nparab' parabolas in (−x₀, +x₀), for animation. The coefficient a is varied linearly from 'Max a' towards 0.

Builds an animnated 'gif', and plots the parabolas' vertexes vs. a.

NB A "continuous" line could not be obtained, which remains as unsolved.

References:

Plate: AnimParabs

• (Wikipedia) PHP (from Personal Home Page) • Python (programming language)

• (Wikipedia) GIF

• 1709-02-25: Riccati, Giordano (†1790-07-20, 81 yrs.).

http://web.ist.utl.pt/~ist11038/compute/meeting/Animate/P-animParab.php
Created: 2023-02-26 — Last modified: 2023-05-16