Finding the vertex in vertex form by rewriting the equation

The video tutorial covers analyzing a graph using the equation Y = a * X -, H ^2 + K. It guides students through completing the square to find the vertex and determine if it's a maximum or minimum. The tutorial explains graph transformations, including reflection and shifts, and identifies the vertex as an absolute maximum. The session concludes with a discussion on the potential for increased complexity in the topic.

What is the standard form of the quadratic equation mentioned in the text?

How do you complete the square for the given quadratic equation?

What transformations are applied to the graph of the quadratic function?

What is the vertex of the transformed quadratic function and is it a maximum or minimum?

Explain the significance of the negative sign in front of the quadratic term.