How Do You Convert a Quadratic from Standard Form to Vertex Form by Completing the Square?

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!

Keywords:

  • problem
  • vertex form
  • completing the square
  • quadratic equation

Background Tutorials

  • Balancing Equations

      • What's the Subtraction Property of Equality?What's the Subtraction Property of Equality?

      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!

      • What's the Addition Property of Equality?What's the Addition Property of Equality?

      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!

  • Factoring Special Cases

  • Standard Form of a Quadratic Function

      • What is the Standard Form of a Quadratic?What is the Standard Form of a Quadratic?

      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!

Further Exploration

  • Quadratic Functions

      • How Do You Graph a Quadratic Function?How Do You Graph a Quadratic Function?

      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!