Algebra - Quadratic Equations - Basic Graphing

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In this lecture I will show you how to graph a quadratic equation

[@fresno0318]

Thank you so very much for your fantastically clear explanations re: graphing quadratic equations. This is the first time in my 70+ yeards that I understood what those equations meant. Thank you again.

[@MichelvanBiezen]

Thanks for sharing. It is exciting to finally grasp something you didn't quite understand before. (Happens to me all the time).

[@ace6285]

Thank you from the bottom of my heart. Finally I understand what all these terms are referring to. I have watched scores of demonstrations and yours is the first that has turned on the light, Thank you.

[@MichelvanBiezen]

You are welcome. Glad you found our videos. 🙂

[@ricardo-c4l7l]

Your step-by-step logical approach is excellent! What a privilege to be taught by someone with the gift of teaching.

[@MichelvanBiezen]

Thank you. Glad you found our videos. 🙂

[@darkwingduck315]

Simple.. simple ... simple.. and the best explanation i have found on youtube about quadratic equations / parabola. Thank you.

[@SabrinaXe]

Your teachings are on point, much love. Before we teach, we should be able to view it visually. My stress levels have gone far down after being able to visual a quadratic equation

[@ull893]

Best teacher ever. 😊❤️💖💖💖❤️

[@BM-jw7pe]

I rely on the thoroughness of your video to refresh my memory. Thanks.

[@richardb2837]

I love your teaching style👬

[@lavanyabarkam1803]

Best teacher in the world

[@monoman4083]

wish i 'd had this high quality teaching at school. thank you sir...

[@MichelvanBiezen]

Wow, thanks

[@onlineupdatesdm.2]

I enjoyed a lot , i want you upload more videos for us. Thank you sir

[@oblivion8682]

This helped clear basic concepts. Thank you sir!

[@MichelvanBiezen]

Glad to hear that!

[@obaidrevision4023]

Thanks a lot for making such excellent videos. You are an angel!

[@Jee_helpdesk]

Thanks a lots sirr ❤ see it's simple and easy to understand😉😉.

[@MichelvanBiezen]

Most welcome 😊

[@kamyarphysicsschool5065]

Dear Michel, I enjoyed this lecture. It was really organized and scientific as always. Recently I uploaded a couple of videos about quadratic functions (part 1 and 2). I shall be grateful to you if you have look ( specially the part 2 ) and update me about your helpful ideas. Take care of yourself and educational community. Sincerely yours, PAYMAN

[@MichelvanBiezen]

Payman, They are well crafted videos and go through the material systematically touching upon all the various aspects of the quadratic formula. Well done! Michel

[@kamyarphysicsschool5065]

@@MichelvanBiezen Thank you Michel.

[@preethalal81]

Very helpful

[@williambunter3311]

Wonderful yet again! Thank you sir.

[@MichelvanBiezen]

Thank you for your comment. Getting this visual perspective helps.

[@williambunter3311]

@@MichelvanBiezen Sir, you have literally opened up a whole new world for me, a world full of excitement, and elegant mathematical logic. I am saving your videos on my playlist, and am learning and memorising new concepts step by step. I find the shortcuts to calculating the vertex and the roots etc, are also so helpful and interesting. There is so much to learn, and I know I am, by God's grace, just at the beginning of an exciting journey. Thank you for posting these excellent videos.

[@MichelvanBiezen]

William. I am glad you are finding excitement in learning new concpets. I myself never tire of learning new things and gaining greater understanding. God's creation is amazing and understanding more and more has been very exciting.

[@lavanyabarkam1803]

Sir your teaching is so good👍

[@MichelvanBiezen]

Thanks and welcome

[@vze1lat7]

Hello Michael, very interring and easy to understand presentation! Just question : from your example y=- (x+1)^2- 2, Is the negative sign outside the parenthesis intended only for the x and not the constant inside the parenthesis? I was thinking that the +1 will also change into negative thus shifted to the right! Thank you!

[@MichelvanBiezen]

The sign is intended for everything inside the parentheses. First you need to square the contents and then apply the negative sign. But in this form, it is easier to see the shape and position of the graph.

[@ZieselRocks]

This video should be the 2nd one in the playlist, not the last. Otherwise, very succinct!!

[@appi4158]

Hi Thanks a lot for the useful videos. I humbly wanted to draw your attention to the last graph on the right side, that you correctly drew it on the board, in describing how to draw the equation’s graph, but it shows differently on the opening(introduction) page of the video. Since it shows (-2) as the Y-intercept, while I think that (-2) is the Y value of the vertex, and the Y-intercept should be (-3) for the related equation. Thanks again

[@MichelvanBiezen]

Thank you for letting us know.

[@appi4158]

Sure, thank you for sharing your knowledge in an easy and comprehensive method.

[@moayadkassem]

the video was useful for me , thank you !

[@MichelvanBiezen]

Glad it helped!

[@moayadkassem]

@@MichelvanBiezen God bless you

[@williamjayaraj2244]

Thank you sir.

[@rexken1756]

why does the 5 in the y=5x sqaure make the parabola thinner and the 1/10 in y= 1/10x square make the parabola wider

[@MichelvanBiezen]

In each case plug in the values for x = 0, 1, 2, 3, 4, and 5 and see how it changes the value for y. Then graph is and see what it looks like.

[@rexken1756]

Michel van Biezen were do i plug these numbers into

[@MichelvanBiezen]

y(x) = 5x y(x=0) = 5(0) = 0 y(x=1) = 5(1) = 5 y(x=2) = 5(2) = 10 etc.

[@rexken1756]

Michel van Biezen ok i get it now. thanks

[@motherof3pearls]

When completing the square, why do some KZbin Math teachers add the middle terms on the left hand side and to the right hand sides, while others minus the term they have just squared on the left hand side. You get two different answers, right. I just so confounded by which method to use. Please, help! 😃🤓

[@MichelvanBiezen]

All methods (when executed correctly) will give you the same answer. Without seeing a specific example I cannot show where the error is that caused the answers to be different.

[@Ahmed-ip8wv]

Yep

[@erwinmeza2826]

Michel van Biezen. WELL. ...