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 roots changes. Two intersections appear when the discriminant is positive, one when it equals zero, and none when it is negative. The quadratic formula is displayed alongside, linking the algebraic sign of b^2 - 4ac to the graph. Useful for algebra students learning how discriminants predict root behavior visually.
16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
The prompt that made it
Apply ALL of the following review notes precisely; keep everything else identical. This video is for social media and must be impeccable. - Video is great, timing is off. Animations should pace a bit slower and smoother
Make the next one in this series
- Show the same idea for y = ax^2 + bx + c with a changing instead of c
- Animate complex roots appearing on the complex plane when the discriminant is negative
- Compare discriminant behavior for a cubic function's turning points
