Writing an equation in vertex form from quadratic form

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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.

Organized Videos:
✅Completing the Square
✅Find the Value C that Completes the Square
✅Standard to Vertex Form by Completing the Square
✅Find the Vertex by Completing the Square

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#Completingthesqaure #quadratics #brianmclogan

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I'd give a big praise to that student near the end who questioned whether that parabola opened upward or downward and whether the vertex was not a maxima but rather a minima. Whenever a situation like that happened to me when I was teaching (and it often did), I used to always have a dollar bill in my wallet and hand it over to the vigilant student. It's amazing what a buck can do to motivate students hang on your every word.

wlfarrell

Mann you be saving my life it’s often hard to get sleep so I doze off in class and must teach myself after school and your videos have always aided me.

zarleto

thank you so much, my bf was crying and throwing up before watching your video. he quickly understood the concept rather than what he learned in class! Thanks !

EmilyM-vc

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