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Absolute Value: Solving Graphically - We've looked at many different characteristics of functions, mainly quadratics. Now let's shift our focus to a function that is similar to a quadratic but has different properties! Find out how absolute value is different, and how to solve any absolute value function through its graph!
Lesson - Absolute Value Solving Graphically
Absolute Value Solving Algebraically - Since you now know how to solve absolute value problems with graphing, let's look at what happens when you don't have a graph to look at. Here's how to solve them using algebra!
Lesson - Absolute Value - Solving with Algebra PowerPoint
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Transforming Absolute Value Funsctions: Stretch, Compress, and Reflect - So here's where we dive a little more in-depth than we did in algebra 1. Learn how to mutate the absolute value function to fit the needs that you want it to fit here!
Lesson - Transforming Absolute Value Functions - Stretch, Compress, and Reflect
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Quadratics Practice: Solving by taking the Square Root - Now let's look back on how to work with roots, and use that knowledge to actually solve a quadratic! Learn how to work with roots to come up with an answer to any quadratic problem!
Lesson - Quadratic Practice - Solve by taking the Square Root
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Imaginary Numbers - So far you've encountered quadratics that have only dealt with positive roots. But what happens when you finish your problem and realize you have to take the square root of a negative? Can you do that? Find out how to and more here!
Lesson - Imaginary Numbers
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Complex Numbers - Now that you know what an imaginary number is, find out how we can incorporate imaginary numbers with regular numbers!
Lesson - Complex Numbers
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Completing the Square Review - Now let's take a refresher on how to complete the square properly. This is very important when dealing with polynomials, particularly quadratics. Find out how here!
Lesson - Completing the Square
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Using the Discriminant - How can you tell if a problem will give you a real answer? What if you find out that you get two imaginary answers instead? Is it worth working out, or is there a way to tell before hand? Find out here, by using the discriminant!
Lesson - Using the Discriminant
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Quadratic Formula - Now that we know how to complete the square, use the discriminant, and recognize complex numbers in our answer, let's jump back and re-examine the quadratic formula!
Lesson - Quadratic Formula
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