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Quadratic equations animations

4 verified, narrated animations about quadratic equations, reviewed by hand and checked at animation steps. Watch free; download the video or adapt it to your lesson with any paid plan.

Gradient descent: walk downhill on the loss
Gradient descent: walk downhill on the loss

A ball rolls along the parabola L(w) = (w-3)^2 + 1, starting at w = -1 and updating via w <- w - eta dL/dw wit…

Optimization: the biggest rectangle for a fixed perimeter
Optimization: the biggest rectangle for a fixed perimeter

An animation shows a rectangle with fixed perimeter 20 changing shape as its width varies, tracing the area fu…

The discriminant decides how many real roots
The discriminant decides how many real roots

A parabola y = x^2 - 2x + c shifts vertically as c moves from -3 to 1 to 3, showing how the number of real roo…

Completing the square, literally
Completing the square, literally

An x-by-x square is joined by two strips of width 3/2, representing the algebraic expression x squared plus 3x…

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