Completing the square for vertex form  Quadratic equations  Algebra I  Khan Academy  Summary and Q&A
TL;DR
Learn how to write a quadratic equation in vertex form and identify the vertex of the parabola.
Questions & Answers
Q: What is the purpose of expressing a quadratic equation in vertex form?
Expressing a quadratic equation in vertex form helps identify the vertex of the parabola, which gives the minimum or maximum value of the function.
Q: How can we rewrite a quadratic equation in vertex form?
You can rewrite a quadratic equation in vertex form by completing the square and manipulating the equation algebraically to express part of it as a perfect square.
Q: How can we determine the x value of the vertex?
The x value of the vertex is the value that makes the expression inside the squared term equal to 0. In this case, it is the value of B.
Q: What does the y value of the vertex represent?
When the expression inside the squared term is equal to 0, the y value of the vertex is equal to C.
Summary & Key Takeaways

The video teaches how to manipulate a quadratic equation to express it in the vertex form, y = A(x  B)^2 + C.

Divisible coefficients make it easier to manipulate equations, and factoring out a common factor can help achieve this.

By completing the square, it is possible to express part of the equation as a perfect square and simplify it further.