Real math help.
How Do You Convert a Quadratic from Standard Form to Vertex Form by Completing the Square?
Note:
The vertex form of a quadratic equation can help you quickly identify the vertex of that quadratic. Follow along with this tutorial to see how to use the completing the square method to change a quadratic equation from standard form to vertex form!
Background Tutorials
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Polynomial Definitions
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What is a Polynomial?
If you learn about algebra, then you'll see polynomials everywhere! In this tutorial, you'll learn the definition of a polynomial and see some of the common names for certain polynomials.
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Quadratic Functions
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What is the Vertex of a Quadratic Function?
Each quadratic equation has either a maximum or minimum, but did you that this point has a special name? In a quadratic equation, this point is called the vertex! Take a look at the vertex of a quadratic equation by watching this tutorial.
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Solving Equations by Adding
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What's the Addition Property of Equality?
Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the addition property of equality, and it lets you add the same number to both sides of an equation. Watch the video to see it in action!
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Solving Equations by Subtracting
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What's the Subtraction Property of Equality?
Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the subtraction property of equality, and it lets you subtract the same number from both sides of an equation. Watch the video to see it in action!
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Definitions for Quadratic Functions
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What is the Standard Form of a Quadratic?
Got a quadratic polynomial? Want to put it in standard form? Watch this tutorial to learn the steps it takes to make sure a quadratic polynomial is in standard form!
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Defining Quadratic Equations
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What is a Quadratic Equation?
You can't go through algebra without seeing quadratic equations. The graphs of quadratic equations are parabolas; they tend to look like a smile or a frown. There's also a bunch of ways to solve these equations! Watch this tutorial and get introduced to quadratic equations!
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Factoring Strategies
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How Do You Use a Shortcut to Factor a Perfect Square Trinomial?
Factoring a perfect square trinomial? Did you know there's a shortcut to factoring this special kind of trinomial? Check it out! It's pretty cool, and it may make this process a little faster!
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Further Exploration
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Quadratic Functions
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How Do You Graph a Quadratic Function?
When you're trying to graph a quadratic equation, making a table of values can be really helpful. Before you make a table, first find the vertex of the quadratic equation. That way, you can pick values on either side to see what the graph does on either side of the vertex. Watch this tutorial to see how you can graph a quadratic equation!
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Solving Quadratics by Completing the Square
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How Do You Convert a Quadratic from Standard Form to Vertex Form by Completing the Square if a≠1?
You can change a quadratic equation from standard form to vertex form by completing the square! This tutorial takes you through the process step-by-step.
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