Graph axis of symmetry vertex and max and min, domain and range

👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic equation is an equation whose highest exponent in the variable(s) is 2.
The parts of a parabola include: the axis of symmetry (the line passing through the vertex of the parabola to which the parabola is symmetric about), the vertex (the point at which the parabola turns), the domain (the set of possible x-values of the parabola, usually all real numbers for regular parabolas), the range (the possible y-values of the parabola which is usually the region above the vertex inclusive or below the vertex inclusive for regular parabolas), the x-intercepts (the points where the parabola cuts the x-axis) and the y-intercepts (the point(s) where the parabola cuts the y axis.
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Organized Videos:
✅Graph a Quadratic in Standard Form
• Graph a Quadratic in S...
✅Graph a Quadratic in Standard Form | Learn About
• Graph a Quadratic in S...
✅Graph a Quadratic in Standard Form | Essentials
• Graph a Quadratic in S...
✅Find the Parts of a Parabola
• Find the Parts of a Pa...
✅Graph a Quadratic in Standard Form | ax^2+bx+c
• Graph a Quadratic in S...
✅Graph a Quadratic in Standard Form | x^2+bx+c
• Graph a Quadratic in S...
✅Graph a Quadratic in Standard Form | ax^2+bx
• Graph a Quadratic in S...
✅Graph a Quadratic in Standard Form | ax^2+c
• Graph a Quadratic in S...
✅Graph a Quadratic in Standard Form | ax^2
• Graph a Quadratic in S...
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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvideos.com/about-me/
#GraphQuadratics #QuadraticFunctions #BrianMclogan

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A teacher who really knows how to explain🙌🏼

[@brianmclogan]

Happy to help

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I learn more from watching this 7 minutes video than I would learn in an hour of my algebra 2 class

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im learning this in algebra 1

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Legend has it that Alex is still writing it down.

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Alex just got called out on KZbin. “Alright Alex if you didn’t write this down, you might want to do that”

[@brianmclogan]

haha not the first time either

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in front of 250K people lol

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[@brianmclogan]

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Thank you so much Mr Logan. I'm glad to have you as virtual teacher. You explained this one very well

[@brianmclogan]

+Mo bahjat happy to help you out Mo!

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I have a test in 3 hrs... Thank you for this!

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Your videos are super helpful and I am forever grateful !!! PS: you should do some SAT math question videos, those are so hard to solve !

[@brianmclogan]

thank you! happy to help. I agree, at this time it is hard keeping up just with school and my kids at home, but I do hope one day

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You made this so easy for me to understand. This will definitely help me on my exam tomorrow!

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Thanks sir .. you explain in the best way ... (student from India)

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[@WishingMouse]

Did alex write it down?

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Can i just say the way you explained this was on point ! My ap teacher keeps going at her pace after we tell her to slow down . I didnt fully understans it , but now i do ,thank you .

[@brianmclogan]

you are very welcome!! happy to be there for you brianna! Keep working hard

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I'm an online college student in a College Algebra/Trigonometry class, Your videos are extremely helpful. You explain everything so well. :) Thanks to you I will be able to get through my final exam.

[@brianmclogan]

happy to be there for you Sara! best of luck on your exam

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I have regents today. 9th grade regents. Parabolas still confuse me but you made me understand them somewhat better. Thank you. You’re a great teacher.

[@brianmclogan]

you are very welcome! happy to be able to help you out!

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Okay so first of all I didn’t even understand a word from this lesson but now I’m 100 •/• going to pass the exam tomorrow thanks to you🤩

[@brianmclogan]

you are very welcome! happy to be able to help you out nabila

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[@brianmclogan]

you are very welcome! happy to be able to help

[@TD-il6ju]

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Taking a test rn, you explained this way better than my teacher. 8 years later, thanks

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[@brianmclogan]

Let me know if these help Graphing Exponential kzbin.info/aero/PL0G-Nd0V5ZMofy_VmxEzVr3YpVQIzzppa Graphing Logarithmic kzbin.info/aero/PL0G-Nd0V5ZMqsWTF6Ss4Z98cdR_kP6jV9

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How would you graph this

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you are very welcome Hamdan!

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[@brianmclogan]

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[@muhammadzaib1981]

So for max and min do you just write if it is a max or min or do you also add the vertex in the answer?

[@darfuz9895]

You write max or the min and the value of the max and the min

[@safataqvi7569]

Thanks for your help! I was stressing out but this video helped a lot How would you do a parabola like y = ax ( squared)

[@brianmclogan]

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Crazy Russian hacker of math 🙏🏽

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Thanks sir!

[@brianmclogan]

you are very welcome!

[@Afghanistan633]

How do you find the first table of x

[@andreisecuhan2665]

What is the range if the Y value is Minimum?

[@ellamercedes14]

Thank you! It is my last math class in college(124) and I'm Struggling. Any tips for nervous test takers?

[@brianmclogan]

I did 3 things that really helped me with my math classes, 1.) Find someone or group to study with and do your homework. Very helpful to learn from and makes studying more enjoyable. 2.) Practice extra problems, or redo problems you already know the answer to, just copy it down and then check it. Keep working the problem till you get the processes right. 3.) summarize all the key processes, definitions, equations on a sheet of paper and try to write and make connections amongst them

[@ellamercedes14]

Thank you, I appreciate it!

[@princesshrzria]

Do you have an example or a video that shows how to determine which quadratic equation is used in parabolas when the only givens are the graph, the vertex and the x-intercept?

[@princesshrzria]

Thank you!

[@brianmclogan]

you are very welcome!

[@saadnaeem5082]

wht grade do u learn this in?

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Now THIS is a math class

[@shoki5271]

Is max value and min value the x axis or y axis?

[@youwatch2muchtv]

at the end, was there a bracket at -6? Couldnt see

[@brianmclogan]

es there should have been, can't see it either

[@Ct-lx4gf]

Why can't my teacher be this good at teaching

[@nanakay5262]

I don't know to turn the X-intercepts into a decimal help!

[@dmitry93-year-old49]

Awesome

[@ermatomines4446]

how do you solve it if the squared has a value for example 2x2+3x-5?

[@brianmclogan]

you can just use -b/2a or if completing the square need to factor out the 2 first, I have many examples

[@dabossbabie3605]

can u help me with f(x) = (x-5)^2 +3 (a

[@brianmclogan]

a does not affect the range unless it is negative which in this case it cannot be based on the constraint. The range will depend on the vertical shift 3 [3,infinity)

[@laurenquintana1771]

Is the line of symmetry the y?

[@crustyoldfart]

Seems that the pedagogic method is to teach quadratic equations before the student has any knowledge of calculus. This then requires rote learning respecting finding the vertex and further rote learning as to how to determine whether the vertex [ extremum ] is a maximum or a minimum. Using calculus y(x) = a ^x^2 + b*x + c. dy/dx = 2*a*x + b and d2y/dx^2 = 2*a. At the vertex dy/dx = 0 so at the vertex. 2*a*(xV)+b = 0, xV= -b/( 2*a ) and if d2y/dx^2 > 0 then the extremum is a minimum and if < 0 then a maximum. No rote learning involved.

[@angelicagaming7577]

i understsnd this more than my teacher

[@jailenejimenez5691]

This was so much help, thanks !! Definitely explained it better than my teacher

[@brianmclogan]

you are very welcome! happy to help

[@phamlong3269]

I don't understand why range =- infinity and - infinity can u explain again

[@ioannaathineos5269]

There is also an another way to find the value of f(x) when you know the vertex that is the formula. - D/4a.

[@ioannaathineos5269]

My quastion is how can I determine the range of a parabola algebraically. I mean without graphing it.....

[@Angel-wh2bx]

Have eoc tomorrow pretty good at math and numbers but to many steps.

[@Remhad]

Wait so where is the domain and range part?

[@valjv5191]

When ax^2 is negative it’s got maximum problems, so it’s a sad parabola 😞. When ax^2 is positive, it’s got minimum problems, and is a 😃 parabola. I will remember this forever thanks to my teacher!

[@brianmclogan]

haha you are very welcome!

[@maxi_patty]

I have a big test tomorrow on everything I “learned”, but I have adhd, so I actually learned absolutely nothing so I’m cramming now

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why does that green marker have a red cap

[@mileshoyos7803]

where and how did you get 2(-1) i'm really stuck on this and i have a test tomorrow

[@arronpatel1861]

The formula is b/2a, and x is -1 so its b / 2 times -1

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This guy should come out with merch that says "So ladies and gentlemen"