MASTER How to write the equation of a parabola in vertex and standard form given the vertex and thro

The video tutorial explains how to write the equation of a parabola in both vertex and standard forms. It begins by defining the vertex form as y = a * (X - H)^2 + K and the standard form as y = a * X^2 + BX + C. The tutorial then demonstrates how to use given vertex and point coordinates to solve for 'a' and write the equation in vertex form. It also covers converting the vertex form to standard form through expansion and the FOIL method. Several example problems are provided to illustrate the process, concluding with a final example and summary.

What is the significance of the vertex in the context of a parabola?

What values are represented by H and K in the vertex form of a parabola?

How do you determine the value of 'a' in the vertex form equation?