How do you convert from standard form to vertex form of a quadratic

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  • Опубликовано: 15 сен 2024

Комментарии • 1,7 тыс.

  • @brianmclogan
    @brianmclogan  2 года назад +130

    If this video or many others was helpful, please consider letting me know with a "Super Thanks" above ⬆. I am able to read and respond to all my messages and thank you so much for your support

    • @feralphoenix6646
      @feralphoenix6646 2 года назад +3

      Thanks for your help! I was able to understand vertex form for my test.

    • @yanhongchen8285
      @yanhongchen8285 2 года назад +2

      So nice, I am 9th Grade student. I need to test for the regrent.

    • @raunakghuman1429
      @raunakghuman1429 Год назад

      thanks so much i have exams tomorrow and have no idea what to do

    • @jacksonberry442
      @jacksonberry442 Год назад

      I love you so much

  • @zurozuto5458
    @zurozuto5458 6 лет назад +1702

    U just taught me what my teacher couldn't teach me in a whole unit in just 8 min God bless u sir

  • @Cryosaturn
    @Cryosaturn 3 года назад +24

    The fact that people still come back to these videos from you just PROVES the fact that your lessons are helpful. Thank you

  • @pleadinsanity621
    @pleadinsanity621 6 лет назад +2822

    I get it in 8 minutes instead of 50 minute class. Thanks!

  • @Autumn_The_Nerd
    @Autumn_The_Nerd Год назад +57

    Y'know, Something I always needed from math teachers was to explain WHY.
    The what only gets you so far,
    The how lets you know what got you where,
    But the WHY Is literally so important and I feel some teachers really over-look it.
    But here, I understand things very well because its explained fully in a good way

    • @SuperEDU-h9z
      @SuperEDU-h9z 15 дней назад +1

      i asked for this from them and well they couldn't really explain why it works....

  • @endripashollari8221
    @endripashollari8221 6 лет назад +5404

    I am gonna kiss that bald head this was so helpful

    • @brianmclogan
      @brianmclogan  6 лет назад +882

      haha happy to help

    • @damig6507
      @damig6507 5 лет назад +67

      Right! Thank you brain, this was so helpful I’ve been stuck on that for weeks

    • @Tubbs777
      @Tubbs777 5 лет назад +23

      @@brianmclogan Your awesome, Good job bro !!!

    • @shadowbane7401
      @shadowbane7401 5 лет назад +106

      Weird flex but ok

    • @Tubbs777
      @Tubbs777 5 лет назад +7

      @@shadowbane7401 😂😂😂

  • @vixiink
    @vixiink Год назад +23

    This is by far the best explanation I have seen. I appreciate how you went through 3 different scenarios simultaneously, and showed us how to get around them.

  • @alexh4502
    @alexh4502 6 лет назад +601

    Finally after like 30 minutes I found something clear, simple, and exactly what i have been searching for! Big help for homework

    • @brianmclogan
      @brianmclogan  6 лет назад +36

      happy to help you out Alex!!

    • @JuveEdits
      @JuveEdits 4 месяца назад +1

      5 years, 600 likes and only 1 comment, lemme fix that

    • @alexh4502
      @alexh4502 4 месяца назад

      @@JuveEdits thanks man! I graduate college tomorrow funny to see how i was struggling w this 5 years ago

  • @husseinahme3484
    @husseinahme3484 Год назад +4

    I love how you slow down and really explain what these terms mean like completing the square. It really helps to understanding how to convert standard form to vertex form

  • @ec4354
    @ec4354 6 лет назад +4226

    all these 216K views bc our teachers cant teach

    • @brianmclogan
      @brianmclogan  6 лет назад +373

      Happy to be there for you Lisette

    • @georgeevans506
      @georgeevans506 5 лет назад +119

      Or maybe because you dont pay attention

    • @licecollector6199
      @licecollector6199 5 лет назад +229

      My teacher just gives us worksheets for the entire period and we have to teach ourselves while she walks around. Garbage.

    • @georgeevans506
      @georgeevans506 5 лет назад +49

      @@licecollector6199 that's too bad, my students complain because I give too many notes haha

    • @SlothMotions
      @SlothMotions 5 лет назад +8

      lol 400k now

  • @danielhill6258
    @danielhill6258 11 месяцев назад +5

    10 years later and you are still helping the world learn. Thanks for your help today!

  • @charley6799
    @charley6799 7 лет назад +329

    Only vid explaining this in a way that didn't confuse the heck outta me.

  • @circleofdeath4026
    @circleofdeath4026 2 года назад +5

    I wish that teachers were all like you man. Imagine the amount of content and time students would have to apply their knowledge of a concept, all while not being overwhelmed by homework as we often are. You a brilliant teacher man, thanks for all you do for the math community.

  • @brandonpruter7888
    @brandonpruter7888 6 лет назад +724

    I might actually pass my final tomorrow now

  • @digitaldiscomfort3813
    @digitaldiscomfort3813 Год назад +2

    This is the gift the cant stop giving. I imagine for as long as RUclips is up, someone in every math class will refer to this at some point. thx

  • @starinsky2873
    @starinsky2873 6 лет назад +427

    Thank u randy orton for teaching us mathematics!

  • @fet6
    @fet6 5 месяцев назад +1

    One of the reasons that Brian is such an excellent teacher, is that he doesn't do all the steps to one problem. He repeats the steps on multiple problems as he goes (for repetition) students learn much better this way in my experience! Kudos Brian!

  • @annaajj24
    @annaajj24 2 года назад +19

    This was extremely helpful! Not only you explain the steps, but also why and how you get there! A free math lesson that gave so much! Thank you!

  • @axelmorton397
    @axelmorton397 2 года назад +8

    No matter how old these videos get, Brian will always be the guy who got me through highschool math. Thanks dude.

  • @DavidChubaca
    @DavidChubaca 6 лет назад +14

    I’m a college student doing review before I start calculus this semester, and this is a great refresher! Thank you.

    • @brianmclogan
      @brianmclogan  6 лет назад +4

      you are very welcome! best of luck this year David!!!

  • @awesomeguy58
    @awesomeguy58 3 года назад +2

    Thank you so much. 7 years later and your video still helps people!

  • @aidentimmons4311
    @aidentimmons4311 4 года назад +4

    Your videos have saved me... teacher never actually teaches, just hands homework out. This makes so much sense and I probably learn more about a topic in five minute videos the a weeks worth of lessons.

    • @mathfullyexplained
      @mathfullyexplained 3 года назад

      Try my channel mathfullyexplained. Units on quadratics plus more units

  • @bug3047
    @bug3047 3 года назад +23

    I am so late here but I have had such a difficult time trying to understand this in class no matter how much my teacher tried to explain it. I needed something clear with steps and this really helped me out, thank you very much!

  • @green5310
    @green5310 6 лет назад +116

    Super helpful. I am very appreciative of this!! Math is definitely my worst subject...

    • @brianmclogan
      @brianmclogan  6 лет назад +22

      that is okay, keep working hard, it will come to you

  • @benbrill1384
    @benbrill1384 4 года назад +60

    Thank you so much. Corona has closed schools, and my teacher expects me to read the textbook. 1st, BORING, 2nd, Doesn’t help at all.

    • @rxsesforyuki5342
      @rxsesforyuki5342 4 года назад +3

      omg i feel you, I currently taking Algebra 2 over the summer to get credit ahead of time and the college that is teaching me is not really that helpful and has weird techniques. Why cant everyone be as simple as this dude smh.

    • @dansingcow5129
      @dansingcow5129 3 года назад

      still here in ap pre cal 11 lmao

    • @jobelleborra4713
      @jobelleborra4713 3 года назад

      @@rxsesforyuki5342 because apparently, using weird and complicated techniques makes you look cool. Tf is wrong with schools nowadays?

    • @mathfullyexplained
      @mathfullyexplained 3 года назад

      Try my channel mathfullyexplained. Units on quadratics plus more units

  • @eggz4life
    @eggz4life 6 лет назад +93

    after 4 years of college and highschool you've explained it tthe best

    • @brianmclogan
      @brianmclogan  6 лет назад +26

      thank you for sticking with me for so long, really happy to be able to help you out!

  • @Jliz80
    @Jliz80 3 года назад +37

    Thanks!

    • @brianmclogan
      @brianmclogan  2 года назад +4

      You are very welcome! Thank you for the support 😍

  • @mr.greninjaa54
    @mr.greninjaa54 6 лет назад +7

    Thank you so much! This helped me out on my homework a ton and it cleared up any questions I had for an upcoming test I have! I really liked how you did all 3 equations rather than just one like all of the other videos.

  • @mbullehkebbehal9538
    @mbullehkebbehal9538 Год назад +2

    Thank you very much for you videos. I have been using your videos since 2015 I think, to help my daugther from her grade 10 to grade 12 and even while she was in fisrt year university. Now I am using your videos to help my younger daughter Mbulleh Kebbeh who was in Grade 10 last year and now in Grade 11. Your videos are very useful. I am Mbulleh Kebbeh's Father.

  • @y33tboy97
    @y33tboy97 6 лет назад +42

    My method I was taught:
    Have standard form
    find vertex
    Put in vertex form

    • @brianmclogan
      @brianmclogan  6 лет назад +3

      you can do it that way, what about when there is an "a" though?

    • @shaunkashyap7321
      @shaunkashyap7321 5 лет назад

      @@brianmclogan you Solve for it

    • @eyualyilma9031
      @eyualyilma9031 4 года назад

      @@brianmclogan i saw a video with a similar method but i dont like that way because you are supposed to use a calculator to find the vertex and you dont gain any understanding of how you got the answer, or how to do it yourself. but maybe you guys did it differently cause the video i saw used a calculator. id much prefer this method though.

  • @nickbaileyspearfishing
    @nickbaileyspearfishing 2 года назад +1

    Over the years I always find myself coming back to this page before every exam and test when I’m confused. Thank you so much. 🙌🏽🙌🏽

  • @lilyann8080
    @lilyann8080 4 года назад +9

    Thank you soooooooo much! Honestly I have tried to grasp this for ages and now I finally get it! You are a fantastic math teacher 🙏

  • @xplanespotter4117
    @xplanespotter4117 3 года назад +1

    you are literally a better math teacher than all my math teachers I've ever had. They don't explain anything. I can watch your videos and understand the whole topic in a fraction of a time compared to in school. YOU ARE A GREAT TEACHER!!

  • @nathanows7
    @nathanows7 5 лет назад +17

    Lol I have a 95% in my AP Math class because of you... thank you so much for your unconfusing explanations 👍🏾🔥

  • @catsubiston
    @catsubiston Год назад +2

    8 minutes vs a 1 hour class.....and the 8 minutes wins, THANK YOU!!

  • @roalia4159
    @roalia4159 4 года назад +128

    Please tell me I am not the only one here in 2019

    • @Acro
      @Acro 4 года назад +5

      Right here. Got a quiz with this on it tomorrow.

    • @wetback-im7hw
      @wetback-im7hw 4 года назад +4

      We’re here with you 😉

    • @dr.strange7311
      @dr.strange7311 4 года назад +2

      @@Acro good luck. got a final exam on thursday

    • @myaclark9240
      @myaclark9240 4 года назад +2

      Got a test on it tomorrow!

    • @umitsmochi9580
      @umitsmochi9580 4 года назад +1

      Hanita Prety got a test on it today bro, I’m worried lmao

  • @Realkalpa
    @Realkalpa Год назад +2

    I am now attending a school in italy, and im still learning italian. I was having a hard time with math teacher since shes so fast and weird. but i looked into this video, i learned this in 8min which my math teacher couldnt teach me in 3 months. Godn bless sir

  • @deathmitt5971
    @deathmitt5971 3 года назад +10

    You have saved my life as a student in 2020

    • @mathfullyexplained
      @mathfullyexplained 3 года назад

      Try my channel mathfullyexplained. Units on quadratics plus more units

  • @joshuayelle5583
    @joshuayelle5583 3 года назад +2

    my algebra teacher is so bad and spend 3 days explain how to do this and it is so confusing . You just made me learn it in 8 minutes. You are the best and I am telling all my friends about you.

  • @atikshsingh1598
    @atikshsingh1598 5 лет назад +3

    thank you so much for this video, you won't believe how many people's grades you have saved with this video. Your 6 year old video is still helping high schoolers to this day. Respect.

    • @mathfullyexplained
      @mathfullyexplained 3 года назад

      Try my channel mathfullyexplained. Units on quadratics plus more units

  • @williamstevens4416
    @williamstevens4416 3 года назад

    Hands down best video you’ve posted. 8 years later and it’s doing gods work. Thanks Mr. McLogan 🙏

  • @jacksonnorris6444
    @jacksonnorris6444 5 лет назад +9

    Thank you Brian! You've helped me so much more than my math teacher has.

  • @istoleurmail9563
    @istoleurmail9563 4 года назад

    Earned a sub for saving me... 2 weeks of teaching, and it was you who actually made me understand in only 8 minutes. Bravo, sir

  • @josef7731
    @josef7731 3 года назад +23

    I got more knowledge on an 8 minute vid than the entire fucking school year

    • @mathfullyexplained
      @mathfullyexplained 3 года назад +3

      Try my channel mathfullyexplained also. Units on quadratics plus more math units

  • @TrapCardDis
    @TrapCardDis 3 года назад +2

    You’re the only math teacher on RUclips that’s helpful for me, good job!

  • @chronox0433
    @chronox0433 4 года назад +4

    Sir you just saved my Butt.
    You just helles me understand something my teacher could not teach me in 4 weeks.
    Thank you so much

  • @le_unclebear
    @le_unclebear 2 года назад

    You just taught me for free in an 8 minute video what a class I'm paying $900 a semester couldn't teach me in four weeks. Thank you so much.

  • @baronalt6043
    @baronalt6043 4 года назад +3

    This was literally so straight forward and helpful. Teachers should learn from you!

  • @annamay5143
    @annamay5143 5 лет назад +2

    Very helpful! Only thing I wish you would solve each problem one at a time, it would make it less confusing!

  • @seli9490
    @seli9490 4 года назад +44

    who’s here during the covid 19 quarantine?

  • @jodiehitosis6567
    @jodiehitosis6567 3 года назад +1

    don't know where i'd be without this guy

  • @xxtrish_xx
    @xxtrish_xx 4 года назад +88

    When you didn’t listen in class and have 2 hours to finish this homework assignment 😭

    • @feetdelete4409
      @feetdelete4409 3 года назад +2

      I have an hour and ten minutes till my math final to learn this less goooo

    • @mhassan6099
      @mhassan6099 3 года назад

      @@feetdelete4409 yeah yeah

    • @feetdelete4409
      @feetdelete4409 3 года назад

      @@mhassan6099 i got an 85 bc this wasn't used anywhere so I wasn't prepared 😎😎😎

    • @aayaanfarooq9427
      @aayaanfarooq9427 3 года назад +2

      @@feetdelete4409 AYYYY THATS GOOD IMA BOUT TO MY FINAL THIS WEEK

    • @feetdelete4409
      @feetdelete4409 3 года назад

      @@aayaanfarooq9427 dude good luck

  • @miccellab6170
    @miccellab6170 3 года назад +1

    The dislikes are from teachers whose students go to this guy instead of asking them for help.
    But seriously I spent actual DAYS trying to understand this through the notes my teacher had us write, and still got a 65 on the quiz. He explained it in 8 minutes and I got a 100 on the retake. I'm dropping out this man is all I need to survive.

  • @genesisordonez880
    @genesisordonez880 6 лет назад +27

    You helped me more than my teacher thank you sooo much!!!

  • @soopercorb
    @soopercorb Год назад +1

    You went through all the examples I had questions on, I wanted to express how thankful I am for this, so impressive!

  • @alejandrovelazquez3236
    @alejandrovelazquez3236 5 лет назад +4

    you've been the most helpful teacher on youtube (I hope my teacher dosent see this)

  • @kashiloidp.fuentes5174
    @kashiloidp.fuentes5174 3 года назад

    OMG!!! This was sooooo easy to understand! Thank you for giving me an 8 minute class instead of an hour class where I can't understand anything. God bless you, sir!

  • @granthartsell5636
    @granthartsell5636 6 лет назад +47

    absolute legend

  • @redhood2426
    @redhood2426 9 месяцев назад

    Thank you so much, I'm a sophomore who is stuck with a math teacher who can't factor and I have a unit test tomorrow. Absolutely saved my life.

  • @ivannolia5458
    @ivannolia5458 6 лет назад +4

    oh my lord these videos are incredibly helpful. clear, simple, and straightforward. Exactly what i needed. Thanks again brian 👏🏼

  • @logan__hite
    @logan__hite 2 года назад

    people complain about their teachers a lot but mine... omg. He gave me an F on an assignment because I didn't show work on one problem even though I got them all right. He's also rude to students who he finds annoying, he stands in front of the board so we can't see, and he doesn't explain things. He just does math problems and expects us to understand what he's doing.
    I've learned more from these videos than from the guy whose job it is to teach me. Thank you.

  • @wyattcamacho811
    @wyattcamacho811 4 года назад +5

    Why do teachers become teachers if they just have us look on RUclips for the answers they couldn’t give us 🤦🏻‍♂️ this guy is a life saver

    • @LunchEater78
      @LunchEater78 4 года назад

      Yeah exactly. My math teacher doesn't know how to teach and this guy has been teaching me everything that I'm supposed to learn.

  • @agagnon3535
    @agagnon3535 3 года назад +2

    This is even more helpful this school year. Thank you Mr. McLogan.

  • @kyga_momentomori8363
    @kyga_momentomori8363 6 лет назад +9

    great teacher. much much much better than mine

    • @brianmclogan
      @brianmclogan  6 лет назад +1

      thank you! happy to be able to help you out!

  • @sidleocadio4632
    @sidleocadio4632 3 года назад +2

    This man really over here saving my life over and over, THANK YOU🤍🤍🤍

  • @josephalim
    @josephalim 5 лет назад +9

    You are the effin man. Wish you taught at my college 🙏

  • @QuangNguyen-dw9je
    @QuangNguyen-dw9je 2 года назад

    I'm taking adult day school grade 11 functions but don't always get what the teacher taught in class. I watch many of your videos and find myself wishing you were my teacher. You explain things clearly. Thank you

  • @bobjames9849
    @bobjames9849 6 лет назад +264

    jonny sins

    • @panicattack7873
      @panicattack7873 5 лет назад +114

      Wait he liked that he might be IntErEstEd In thE Arts

    • @atikshsingh1598
      @atikshsingh1598 4 года назад +32

      @@panicattack7873 what a legend

    • @ThePresident-cd5eo
      @ThePresident-cd5eo 4 года назад +16

      He liked your comment lol

    • @Lagul_4
      @Lagul_4 4 года назад +15

      The bald characters are always the most overpowered

    • @marieklassen2830
      @marieklassen2830 4 года назад +15

      bruh i just looked him up on my school ipad. im so screwedddd

  • @JulianHetman
    @JulianHetman Год назад

    An intuitive approach! The steps were explained clearly, showing precisely where each step comes from. Thank you!

  • @emmanuel9914
    @emmanuel9914 5 лет назад +8

    Only if all teachers were like him how different would the world be

  • @liquidbyrnes8466
    @liquidbyrnes8466 5 лет назад +1

    I love how you used 3 different example problems, your videos are so helpful thank you so much.

  • @TamTran-hy3wj
    @TamTran-hy3wj 6 лет назад +5

    You are a genius.

  • @alinakargin
    @alinakargin 5 лет назад +2

    thank you so much! im in algebra 1 honors and we have a test today and i had no idea what he was talking about and you explained it so well!

  • @PERRYOL
    @PERRYOL 3 года назад +4

    His tutorials usually make sense to me but I'm lost here

  • @JackThaRabbit
    @JackThaRabbit 2 года назад +2

    Funny… I practically grew up with this guy helping me with math on last minute assignments

  • @BlackSmithWolves
    @BlackSmithWolves 5 лет назад +4

    the steps start at 1:25

  • @radioactive5882
    @radioactive5882 3 года назад

    For anyone that got confused when he was subtracting numbers around 5:55. He is just subtracting the equivalent amount he just added to the inside of the parenthesis. ex. -3(x^2-2x)-1 >> -3(x^2-2x+1) -1 (+3) or -3(x^2-2x+1) -1 -1(-3)

  • @bells433
    @bells433 4 года назад +3

    You mad genius.

  • @TheReMorseCode
    @TheReMorseCode 4 года назад +2

    You, my good sir, are incredibly competent and that’s all I could ever ask for

  • @bababoi5648
    @bababoi5648 3 года назад +3

    Damn, lookin clean like Mr. Clean.

  • @alyssa273
    @alyssa273 Год назад +2

    i wish you were my math teacher, you teach so well!

  • @persontime4569
    @persontime4569 5 лет назад +3

    Is this completing the square too?

    • @pokemonmegaevolution5460
      @pokemonmegaevolution5460 4 года назад +1

      Yes , we complete the square to find the number on the far right corner , which is "k".

    • @pokemonmegaevolution5460
      @pokemonmegaevolution5460 4 года назад +1

      So in the first example , we got +4 by completing the square . ( we used the formula (b÷2)squared )

  • @errickbolton3807
    @errickbolton3807 3 года назад

    I don't comment often, but I had to say this. I've had trouble with this all day. Found this video and hoped for the best.
    I am now subscribed. I'm recommending this channel to a friend. Thank you very much.
    Live Long and Prosper

  • @elizamichellemanuel6002
    @elizamichellemanuel6002 4 года назад +7

    the number of damn times i watched this

  • @idrkhim
    @idrkhim 9 месяцев назад

    Apparently you and my teacher are beefing because anytime he teaches i understand but sometimes i don’t understand a thing. My teacher kind of likes me and dislikes me mostly bc im the “disturbance” of the class and also im one of the smartest and he put in the back seat, i can’t see and i can’t learn well from all the way back. So anytime he teaches he knows i don’t get it and he tells me “You’ll be alright” then I just go home to watch your videos next day I come back and he’ll think he’ll catch me “lacking” but I just answer his questions with ease thanks to you!!!! My grade in his class is a 95% and thanks to you, your simple teaching and a lot of praying and hard work. I wish there was a way to repay you because only God knows what i’d have in his class if not for you sir.❤️❤️❤️

    • @idrkhim
      @idrkhim 9 месяцев назад

      I said you and him are apparently beefing because anytime I ask him questions in class he always kind of yells and says “GO ASK RUclips” in a jealous manner

  • @Ayak1501
    @Ayak1501 5 лет назад +10

    Thank you bald man. I know how to do this now!

  • @jen-xl9fq
    @jen-xl9fq 3 года назад +1

    thank you for explaining this so well. my teacher last semester tried to teach me how to convert from standard to vertex form without completing the square and it just didn’t work for me :/ but, your video taught me it really well and clearly!

  • @uncoloredredsquare1
    @uncoloredredsquare1 3 года назад +1

    I love how he still liked and replied to comments that were 5 years after he uploaded

  • @775Alex
    @775Alex 4 года назад

    You broke down in 8 minutes what I spent several hours "reviewing", well done Sir. Also, you had several good examples of different cases. Doing them simultaneously helped reinforce the concepts and steps. I'd give 2 thumbs up but I have a beer in my left hand...

  • @yousto1920
    @yousto1920 2 года назад +1

    Thank you Mr. Brian for your amazing work but it would’ve been better if you solved each equation by itself and once again thank you and I really appreciate it!

  • @abby4930
    @abby4930 3 года назад

    thank you so much for these videos, theyre the only thing getting me through my virtual algebra course due to lack of actual teaching in favor of outdated presentations

  • @motaka6308
    @motaka6308 3 года назад +1

    ive been having trouble with grade 10 math and learning online is not helping, but you make it seem so easy. You are the only reason im passing math right now, thank you

  • @rainfox386
    @rainfox386 3 года назад +2

    u are the best teacher i could wish for

  • @lullabymod8450
    @lullabymod8450 5 лет назад

    This guy is a life saver, I'm in college. And this helped me with one of my math quizzes, I don't even remember my professor going over this content. Definitely using your guides to help study for my finals!

  • @helengarcia7358
    @helengarcia7358 2 года назад

    I really enjoy your videos and you have taught me much by watching, I wish though that you would speak just a bit more slowly, so that I can follow you without having to restart the video several times. Thank you for sharing your knowledge.

  • @pacosouviron175
    @pacosouviron175 3 года назад

    you did in 8 minutes what my teacher couldnt do in 2 weeks. respect

  • @laurynmagwaro5875
    @laurynmagwaro5875 5 лет назад

    After multiple searches, I finally found the right video! Missing a class sucks, but thanks to your video I understand it so much better. Thank you so much for your help!!

  • @matthewschoolproject
    @matthewschoolproject 7 месяцев назад +1

    my exams are on Friday and I completely forgot how to do this. You are a life saver 🙏

    • @brianmclogan
      @brianmclogan  7 месяцев назад +1

      You are very welcome! Best of luck!

  • @cy8858
    @cy8858 Год назад +1

    thank you so much Mr McLogan you've just made one full topic easier for me really appreciate it

  • @kennyfrequency
    @kennyfrequency 3 месяца назад

    thanks for the help. your writing is so smooth
    10 years later and your videos still help so much