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

Factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two

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!

Write the quadratic function given three specified points in the plane

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

Graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry

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!