## Contents

Go directly to a video or scroll through them down below. [Some of this contents is out of whack, and I'm still working on some of the vids for this section. I hope to have them up by the end of the first week in April - sorry for any inconvenience – Jeff.]

1. What it means to factor a quadratic equation of the form x2 + Bx + C = 0
2. Transforming between the vertex form, f(x) = A(x - h)2 + k, and standard form, f(x) = Ax2 + Bx + C, of a quadratic equation; finding the vertex.
3. Transforming between the vertex form and the standard form: an example.
4. Completing the square: Example 1
5. Completing the square: Example 2
6. Completing the square: Yet another example
7. Derivation of the quadratic formula (don't miss this one)
8. Completing the square to obtaincomplex roots
9. The vertex form of a quadratic function
10. Graphing (1 of 3) a quadratic function with real integer roots
11. Graphing (2 of 3) a quadratic function with non-integer real roots
12. Graphing (3 of 3) a quadratic function with imaginary roots

## 1. What it means to factor a quadratic equation of the form       x2 + Bx + C = 0 (A = 1)

Minutes of your life: 2:42

## 2. Relationship between vertex and standard form of a quadratic function: A(x - h)2 + k   ↔   Ax2 + Bx + C

Minutes of your life: 2:21

## 3. Example of transforming between the vertex and standard forms of a quadratic function: A(x - h)2 + k   ↔   Ax2 + Bx + C

Minutes of your life: 2:50

## 6. Completing the square: Yet another example

Minutes of your life: 2:50

## 7. Derivation of the quadratic formula – a must-see.

In this example, we start with f(x) = Ax2 + Bx + C and complete the square to derive the quadratic formula.

Minutes of your life: 2:04 (and well worth it!)

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