How to verify if a point lies on a graph using vertex form of a quadratic

The video tutorial explains how to identify and verify the vertex of a quadratic equation in vertex form. It begins by emphasizing the importance of recognizing the vertex and confirms its position on the graph. The tutorial then demonstrates how to algebraically prove the vertex's location by substituting the vertex coordinates into the equation and following the order of operations. The process ensures that the equation holds true, confirming the vertex's position on the graph.

What should you automatically think of when you see something in vertex form?

What is the vertex mentioned in the text?

How can you prove algebraically that a point lies on the graph?

What is the result of plugging in the coordinate points into the equation?

What does it mean if the equation you get is true when plugging in the coordinate points?