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Graph the Quadratic 

Brian McLogan
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There are a couple of different ways we can graph a quadratic. In this video we are going to explore the two most common.
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28 сен 2024

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Комментарии : 16   
@takeshikovacs1531
@takeshikovacs1531 6 дней назад
Modern day gangster! Wipping those numbers left and right! 😅
@zxroid
@zxroid 3 месяца назад
Hello! I'm a student at an international middle school in Korea. I found the video while watching ur video and looking around the channel, and I got curious. How does it apply to u writing on the board? R u writing it the other way around? Or did u switch to mirror mode during the editing process? Thank you for always making informative videos!
@mr.memedog
@mr.memedog 3 месяца назад
Thanks, man how are u writing backwards?😅
@brianmclogan
@brianmclogan 3 месяца назад
Lots of practice 🤣
@sylvesterogbolu-otutu1498
@sylvesterogbolu-otutu1498 26 дней назад
Well done, Mathematician. It is obvious that you were born to do this. I actually thought that what you call the 'beginner's approach' is generally taught in Graphing Quadratic functions when students are first introduced to Quadratic Equations, whilst the more advanced (using completing the square method) you also outlined is usually taught during the treatment of 'The Parabola' in Analytic Geometry. I do recall that I first encountered the equation of the parabola in Analytic Geometry and not whilst dealing with Quadratic Equations. At the initial level, you understand that the graph of a quadratic function is a parabola, but you are not actually shown the formula of a parabola at that stage, until you get to Analytic Geometry in PreCalculus. Please kindly clarify. Thank you.
@1234larry1
@1234larry1 3 месяца назад
I don't understand how completing the square is simpler. Why not just use -b/2a to find the x value of the vertex then plug in that value to find the y value of the vertex. For most students completing the square tends to be avoided even when solving quadratics.
@sylvesterogbolu-otutu1498
@sylvesterogbolu-otutu1498 26 дней назад
Yes. Completing the square is usually the bedrock of quadratic equations, but it is typically avoided because factoring is way easier; and when factoring proves difficult, then the Quadratic Formula is always there to save the day. Therefore, many people would not normally default to using the Completing the Square method unless expressly called for in a test/assignment. I agree with you that -b/2a for calculating the x coordinate of the vertex, and doing y = f(-b/2a) is also more straightforward for many people. Yet, there are some who would even delve into Calculus by getting the first derivative of the quadratic function, and setting the first derivative to zero to get the x coordinate of the turning point, and to do the second derivative just to know whether the graph would be a maximum or minimum, etc. Such people will go into Calculus to look for a solution that could be readily found in Algebra.
@calculus988
@calculus988 3 месяца назад
Very helpful. When i graph quadratics, im a bit messy in my work
@mitsunam7001
@mitsunam7001 3 месяца назад
Very useful! 💗
@norscout3031
@norscout3031 3 месяца назад
Thank you!
@brianmclogan
@brianmclogan 3 месяца назад
You're welcome!
@EvelinFuentes-fy3kj
@EvelinFuentes-fy3kj 3 месяца назад
I love math 😊💗
@tigerfifty
@tigerfifty 3 месяца назад
What about factoring
@brianmclogan
@brianmclogan 3 месяца назад
I’ll get to that soon
@tigerfifty
@tigerfifty 3 месяца назад
@@brianmclogan I meant that cant you graph a quadratic by factoring
@sylvesterogbolu-otutu1498
@sylvesterogbolu-otutu1498 26 дней назад
Factoring also works. You get the two x intercepts, then do a - b/2a to get the x coordinate of the turning point, and f(-b/2a) to get the y coordinate of the vertex.