Finding the equation of a quadratic in vertex form by looking at the graph

The video tutorial explains how to derive the equation of a quadratic function using its vertex form. It begins with an introduction to quadratic functions and the standard form, then moves on to explain the vertex form and its components. The tutorial guides viewers through identifying the vertex of a parabola and determining the coefficient 'a' using a specific point. Finally, it discusses forming the quadratic equation and understanding the role of slope in parabolas.

What is the significance of the coordinates of a point on the graph of a quadratic function?

Explain how the slope of a parabola changes at different points.