Parabola Basics Graphing y=x^2
This animation builds the graph of y=x^2 point by point, showing how the curve forms a U-shape and highlighting the vertex at the origin as the minimum point. It then flips the parabola to show y=-x^2, illustrating how the negative sign reflects the graph and turns the vertex into a maximum. Useful for students learning function graphing and teachers introducing quadratic curves and transformations.
Narrated · 16:9 · every frame verified for overlaps, spacing and edges before rendering
The prompt that made it
create smooth animation for parabola explaning y=x^2 with graph representation and also explaining the vertex. and also the changes happen when y=-x
Make the next one in this series
- Show how y=x^2+c shifts the parabola vertically and changes the vertex position
- Explain y=(x-h)^2 and how it shifts the parabola horizontally
- Compare y=x^2 and y=2x^2 to show how the coefficient affects width and steepness
