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How to write an equation in vertex form and find the vertex

82,094 views November 3, 2011 3:48

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ChannelBrian McLogan

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👉 Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c.

Given a quadratic equation, we write the equation using completing the square by first making sure that the coefficient of the squared variable is 1, if not so, we divide through the terms by the coefficient of the squared variable. Next, we add to the left hand side of the constant term, the square of half the coefficient of the linear term, and subtract same from the constant term. The resulting equation is of the form f(x) = (x + a)^2 + b, where d is half the coefficient of the linear term and b is the difference between the constant term and the square of half the coefficient of the constant term.

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Organized Videos:
✅Completing the Square
youtube.com/playlist?list=PL0G-Nd0V5ZMpfUn-UbbS…
✅Find the Value C that Completes the Square
youtube.com/playlist?list=PL0G-Nd0V5ZMqmxsvmZap…
✅Standard to Vertex Form by Completing the Square
youtube.com/playlist?list=PL0G-Nd0V5ZMq-1D6604j…
✅Find the Vertex by Completing the Square
youtube.com/playlist?list=PL0G-Nd0V5ZMp5mvVW2Cm…

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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: freemathvideos.com/about-me/

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About this tutorial

Brian McLogan published this 3:48 video tutorial on November 3, 2011. It has been watched 82,094 times on YouTube.

Category
Education
Duration
3:48
Published
November 3, 2011
Views
82,094
Likes
455

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