Completing the Square (Vertex Form)

Hello there! For today’s video, I will be talking about completing the square. This is essential in understanding how to graph a quadratic equation. We will be using a formula to complete the square and manipulate the equation around to be in the vertex form. The vertex is the midpoint of the parabola ( the shape of the graphed quadratic equation). Once we find the vertex, we know where the parabola “starts”, all the points after are equidistant from each other which creates the U shape of the parabola.

Formulas used in this video:
1.) y = (x-h)^2 + k
2.) y = x^2 + bx + (b/2)^2
3.) y = (x + (b/2))^2

Notice that formula 3 is a variation of formula 2. Formula 3 will help you get to the vertex form (formula 1)

Don’t forget to let me know in the comments below if you have any questions!

Sections of the video:
00:00 Introduction to Completing the Square
00:43 Changing the quadratic equation to vertex form
01:22 What is the vertex?
02:00 The formula for Completing the Square
03:53 Manipulating the quadratic equation into vertex form
06:21 Example #2
09:05 Example #3
13:34 Example #4

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Hope you enjoyed my video! Thanks for watching!

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Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ