Why is the Axis of Symmetry x = -B/2A? [proof]

[@natelevy5499]

You can also get it from calculus/physics. If you model a position function Ax^2+Bx+C the velocity function (derivative of position) is 2Ax+B. The vertex of the position function, the maximum altitude of a projectile, is where the velocity function is equal to 0. If 2Ax+B=0, x=-B/2A.

[@rademakermath2748]

Yep, there are several different ways to prove it. This way assumes no calculus background.

[@ranakmadan3010]

bruv u have only 300 subs and u have just given me the proof which top channels have failed to give. i always had a question in those proofs but right now everything is straightforward. i didnt even see it cause i was so manipulated. this proof is insane. (yes ik im overreacting but no one has ever given me a better derivation of this)

[@xfpollux3218]

It’s actually The sum of roots/2=Axis of symmetry. -b/a is the sum of roots and when it’s divided by 2, u get -b/2a. This video actually explain something I already knew but couldn’t figure it out:(

[@roboluigi]

Thanks for making this comment!

[@Mukis.]

that makes sense!! thank you for sharing!

[@kylechan5818]

Omg thank you bro. Keep up the good work.

[@GF86123]

Wow this is perfect explanation! Thank you!

[@theultimateanonymous9833]

Wait, I don't understand. At 6:04 , why are we adding zero to -b/a? Aren't we supposed to subtract them?

[@rademakermath2748]

You need to find the halfway point between the two x-intercepts, 0 and -B/A. To find the halfway point between any two values, you add them together and divide by 2.

[@iamdebirhan]

I should have seen this 5 years before but thank you !

[@DavidC2718]

Rademaker Math I give you my mom and all of her entirety in return for making this video. Although you have only very little views now that you are appreciated. Radeamaker I love you cutie.

[@rademakermath2748]

no thanks

[@RayonDanvers]

Thank you so much...had been searching for a long time....🎉🎉

[@buggsnugg]

is x=0 a Root?

[@newstepforward-softwareedu2841]

Very good, Thanks alot

[@sircartier4703]

Exactly the fucking video I was looking for

[@sk7fast]

Makes sense, thank you.

[@christinalee6117]

Good stuff bro ]

[@barthuo9599]

Best explainstion

[@RSA_Shock]

made my day

[@RealestCheezegg]

nice brah

[@Uvouvo05]

Best teach

[@jaylenwong2749]

Wow

[@ericyang7597]

You are a goddes

[@microwaveboi8]

My teacher said this was wrong :(

[@rademakermath2748]

There are multiple proofs for this. Maybe your teacher was looking for a different one.

[@microwaveboi8]

@@rademakermath2748 well her question was “prove why -b/2a is the equation to find the axis of symmetry or something” and I pretty much did identical to this because I thought it made sense and she said it was wrong, and that you can’t just get rid of “c”. Her answer was a lot more complicated than this one.

[@ak-ge4qc]

​@@microwaveboi8 We're just substituting c for 0, because the value for c does not change the horizontal position of the axis. I think this proof is a lot more intuitive than any other.

[@pythontron8710]

Your teacher’s an idiot then