Given the vertex and a point find the equation of a parabola

The video tutorial explains how to find a polynomial with a given vertex and point. It begins by defining a vertex and a point in the context of a parabola. The instructor then introduces the vertex form of a quadratic function and demonstrates how to substitute the vertex into the equation. By using a specific point on the graph, the instructor calculates the value of 'A' in the vertex form. Finally, the tutorial concludes with the derivation of the polynomial equation and explains why the general form does not include specific points.

Why is it important to use parentheses when plugging in values into the vertex form?

Describe the process of finding the value of 'a' in the polynomial.

What does it mean that a parabola contains infinite points?