Writing a Quadratic Equation in Vertex Form

In this short video, I show how to write a quadratic equation in vertex form. I use the formula h = -b/2a to find the vertex of the quadratic equation, then I use the formula y = a(x-h)^2 + k to express the quadratic equation in vertex form.
This video is just quick tutorial for Algebra, if you need additional help with Algebra, please check out my long format videos!

[@boredomgotmehere]

This is one of the faster methods that prevents one from making trivial mistakes that could come about from using the completing the square method. And let’s not forget the other method, (if the quadratic roots are given, without the equation) where finding the midpoint from the roots we can know the symmetrical x axis, and thereby find the y vertex point as well.

[@vinteachesmath]

@boredomgotmehere finding the average of the roots is a cool way to find the x-coordinate of the vertex.
Wouldn't we need to know more about the quadratic to find the y-value of the vertex. If all we know are the roots, the parabola could open upward or downward, giving us a different y-value for the vertex .
I appreciate you taking the time to write that response!

[@boredomgotmehere]

Oops totally forgot to mention that we still need to know whether it’s a max or min equation, which we can by looking at the a coefficient of x^2. 😅

[@vinteachesmath]

@boredomgotmehere it's all good! I liked that average of the roots detail!

[@SherwinSenna]

Formula for Finding K= 4ac - b^2/4a