Learn how to write the equation of a parabola given the vertex and point

The video tutorial explains how to use the vertex form of a quadratic equation to find the equation of a parabola given a vertex and a point. It covers identifying the vertex as coordinates H and K, and a point as X and Y. The instructor demonstrates plugging these values into the vertex form equation, simplifying it, and solving for the variable 'a'. The final equation is derived for any point on the parabola, emphasizing the importance of understanding the vertex form and its components.

How do you simplify the equation after substituting the values for H, K, X, and Y?

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What is the final equation derived from the given values?

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