Khan Academy on a Stick : Quadratics functions and equations

Khan Academy on a Stick

Algebra

Example 1: Solving a quadratic equation by factoring
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U09_L2_T2_we1 Solving Quadratic Equations by Factoring.avi
Example 2: Solving a quadratic equation by factoring
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U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi
Example 3: Solving a quadratic equation by factoring
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U09_L2_T2_we3 Solving Quadratic Equations by Factoring 3.avi
Example 4: Solving a quadratic equation by factoring
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Applications Problem Factoring Quadratics

Solving quadratics by factoring

Just saying the word "quadratic" will make you feel smart and powerful. Try it. Imagine how smart and powerful you would actually be if you know what a quadratic is. Even better, imagine being able to completely dominate these "quadratics" with new found powers of factorization. Well, dream no longer. This tutorial will be super fun. Just bring to it your equation solving skills, your ability to multiply binomials and a non-linear way of thinking!

Solving Quadratic Equations by Square Roots
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Solving Quadratic Equations by Square Roots
Example: Solving simple quadratic
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Simple Quadratic Equation
Solving Quadratic Equations by Completing the Square
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Solving Quadratic Equations by Completing the Square
Completing the square (old school)
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Solving a quadratic by completing the square.
Example: Completing perfect square trinomials
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Completing Perfect Square Trinomials
Example 1: Completing the square
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U10_L1_T2_we1 Completing the Square 1
Example 2: Completing the square
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U10_L1_T2_we2 Completing the Square 2
Example 3: Completing the square
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U10_L1_T2_we3 Completing the Square 3
Example 4: Completing the square
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Completing the Square 4
Example 5: Completing the square
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Completing the Square to Solve Quadratic Equations

Completing the square

You're already familiar with factoring quadratics, but have begun to realize that it only is useful in certain cases. Well, this tutorial will introduce you to something far more powerful and general. Even better, it is the bridge to understanding and proving the famous quadratic formula. Welcome to the world of completing the square!

How to use the Quadratic Formula
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Introduction to using the quadratic formula.
Example: Quadratics in standard form
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Quadratic Equations in Standard Form
Proof of Quadratic Formula
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Proof of Quadratic Formula
Example 1: Using the quadratic formula
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Quadratic Formula 1
Example 2: Using the quadratic formula
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Quadratic Formula 2
Example 3: Using the quadratic formula
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Quadratic Formula 3
Example 4: Applying the quadratic formula
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Application Problem with Quadratic Formula
Example 5: Using the quadratic formula
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Applying the Quadratic Formula
Example: Complex roots for a quadratic
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Complex Roots from the Quadratic Formula
Discriminant of Quadratic Equations
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Discriminant of Quadratic Equations
Discriminant for Types of Solutions for a Quadratic
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Discriminant for Types of Solutions for a Quadratic

The quadratic formula (quadratic equation)

Probably one of the most famous tools in mathematics, the quadratic formula (a.k.a. quadratic equation) helps you think about the roots of ANY quadratic (even ones that have no real roots)! As you'll see, it is just the by-product of completing the square, but understanding and applying the formula will take your algebra skills to new heights. In theory, one could apply the quadratic formula in a brainless way without understanding factoring or completing the square, but that's lame and uninteresting. We recommend coming to this tutorial with a solid background in both of those techniques. Have fun!

Graphing a parabola with a table of values
Graphing a parabola with a table of values
Parabola vertex and axis of symmetry
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Parabola vertex and axis of symmetry
Graphing a parabola by finding the roots and vertex
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Graphing a parabola by finding the roots and vertex
Finding the vertex of a parabola example
Multiple examples graphing parabolas using roots and vertices
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Multiple examples graphing parabolas using roots and vertices
Graphing a parabola using roots and vertex
Graphing a parabola in vertex form
Parabola Focus and Directrix 1
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Parabola as the locus of all points equidistant from a point and a line
Focus and Directrix of a Parabola 2
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Finding the focus and directrix of a parabola
Using the focus and directrix to find the equation of a parabola

Graphing quadratics

Tired of lines? Not sure if a parabola is a disease of the gut or a new mode of transportation? Ever wondered what would happen to the graph of a function if you stuck an x² someplace? Well, look no further. In this tutorial, we will study the graphs of quadratic functions (parabolas), including their foci and whatever the plural of directrix is.

Quadratic Inequalities
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Solving quadratic inequalities using factoring
Quadratic Inequalities (Visual Explanation)
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How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.

Quadratic inequalities

You are familiar with factoring quadratic expressions and solving quadratic equations. Well, as you might guess, not everything in life has to be equal. In this short tutorial we will look at quadratic inequalities.

Solving a quadratic by factoring
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factoring quadratics
CA Algebra I: Factoring Quadratics
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44-47, factoring quadratics
Algebra II: Quadratics and Shifts
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32-35, Solving quadratics and graph shifts
Examples: Graphing and interpreting quadratics
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36-38, shifting quadratic graphs and finding x-intercepts (roots)
CA Algebra I: Completing the Square
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48-52, completing the square
Introduction to the quadratic equation
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Introduction to using the quadratic equation to solve 2nd degree polynomial equations
Quadratic Equation part 2
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2 more examples of solving equations using the quadratic equation
Quadratic Formula (proof)
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Deriving the quadratic formula by completing the square.
CA Algebra I: Quadratic Equation
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53-57, Quadratic Equation
CA Algebra I: Quadratic Roots
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58-62, x-intercepts of a quadratic function

Quadratic odds and ends

This tutorial has a bunch of extra, but random, videos on quadratics. A completely optional tutorial that you may or may not want to look at. If you do, watch it last. There are some Sal oldies here and some random examples.