Quadratic Identity Proof

This animation demonstrates how the parabola equation $y = bx^2 + d$ transforms as its parameters $b$ and $d$ change, visually proving that the equation equals zero for every point on the graph only when both $b$ and $d$ are zero. It tracks the curve's movement from having two roots, to one, to none, and finally becoming the x-axis itself, culminating in a "success" state where the line touches the axis at