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Shifting, Stretching and Reflecting Parent Function Graphs 

Mario's Math Tutoring
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Learn how to recognize shifts, vertical and horizontal stretches and reflections as they affect parent functions in this free math video tutorial by Mario's Math Tutoring.
0:00 Intro
0:22 Diagrams of 6 Basic Parent Functions
1:07 Looking at a Horizontal Shift of the Square Root Function
1:53 Looking at a Horizontal Shift of the Absolute Value Function
2:15 Vertical Stretch of the Reciprocal Function
2:57 A General Way to Analyze Shifts, Stretches and Reflections
3:44 Example of Transforming a Cubic Function
4:00 A Shortcut for Graphing by Shifting the Origin or Starting Point
4:50 A Reflection of the Step Function
5:29 A Horizontal Compression of the Quadratic Function
6:23 More Challenging Example
8:18 A Simpler Way to Graph Taking the Translation into Account First
9:37 A Summary of the Transformations
10:26 A Reflection Over the x-axis
Related Videos:
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• Graphing Step Functions
Graphing Square Root & Cube Root Functions
• Graph Square Root and ...
Graphing Parabolas in Vertex Form
• Graphing Parabolas in ...
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5 июл 2024

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Комментарии : 227   
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
mariosmathtutoring.teachable.com/p/learn-algebra-1-video-course Check out my Learn Algebra 1 Video Course for sale. I teach you chapter by chapter and section by section. There are 87 video lessons and over 11 hours of video. For less than the price of a private tutoring session you have lifetime access to the course and can work through it at your own pace. Check out the 13 free lessons (1 from each chapter) at the link above. - Mario
@omranalkhleefalhamad6756
@omranalkhleefalhamad6756 3 года назад
A random ad : "Are the videos from 2006 really helping you ?" Me : well , 2 + 2 is still gonna be 4 even after a thousand of years , so yeah these old videos are really helping me
@ButerWarrior44
@ButerWarrior44 2 года назад
ikr
@benderbendingrofriguez3300
@benderbendingrofriguez3300 6 лет назад
watching this video two minutes before an exam.
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Bender Bending Rodriguez report and let me know how you did!
@000zzx9
@000zzx9 6 лет назад
living on the edge
@bostonjackson9384
@bostonjackson9384 6 лет назад
Seems like he didn't make it. He's gone.
@barta5ot-395
@barta5ot-395 6 лет назад
rip
@benjaminsanati7078
@benjaminsanati7078 6 лет назад
Seeing as he watched an 11 minute video in two minutes it doesn't look like everything went as planned
@sunacchi8240
@sunacchi8240 4 года назад
When Jeff Bezos can teach you math.
@IvanIvanov-zm1ot
@IvanIvanov-zm1ot 2 года назад
That's fucked up dude. This is great free content, which helps many students succeed because their teachers are not good. Be appreciative, you are obviously here because you need help, so don't be a hater, show love and support to Mario for giving you this free and well put education. Stop being a smart ass and offending people for comment likes. Ever thought how your comment can make Mario feel? Grow up, and if you don't have anything nice to say, then don't say anything.
@sunacchi8240
@sunacchi8240 2 года назад
@@IvanIvanov-zm1ot Bro what? I love Mario's stuff, he helped me a lot through precalculus lol. Your knees gotta be mad sore from jumping to so many conclusions. Your sense of humor is lacking and it shows 🥱
@lilylopez4373
@lilylopez4373 2 года назад
@@IvanIvanov-zm1ot you really responded to a comment from 2 years ago. And it was an obvious joke 😭
@brazytales7916
@brazytales7916 2 года назад
@@lilylopez4373 😭😭🤣🤣
@lemon-vy3mj
@lemon-vy3mj 2 года назад
@@IvanIvanov-zm1ot You really thought you saved the world by saying that? 🗿
@AJ-Bunny-
@AJ-Bunny- 3 года назад
I have a test on this content on Monday god bless you. My math teacher just kinda blew over this stuff and acted like we already all knew it
@suso5782
@suso5782 5 лет назад
I was absent when my teacher taught this, the next class he just gave me the papers and didn't explain anything. Thank you! You helped me a lot, I hope I do good on my test tomorrow.
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Glad my video helped you! Good luck on your test! Report back if you want and let us all know how you did.
@geraldjinx
@geraldjinx Год назад
did you pass
@nolanledwith2039
@nolanledwith2039 Год назад
What you get bro?
@suso5782
@suso5782 Год назад
@@nolanledwith2039 3 years later I'm reporting that I passed the test, passed the class and graduated High School 2 years ago! Hardest years of my life due to depression and all that but I made it!
@s1643
@s1643 Год назад
@@suso5782 CONGRATULATIONS
@Jenauxn
@Jenauxn 2 года назад
Thank you so much. Hours of homework made no sense to me until I saw this video. Thank you, thank you
@anobelkhoushabeh3831
@anobelkhoushabeh3831 3 года назад
Videos like this remind me why some people have a job as a teacher. Thank you! Clear, to the point.
@whitneycammack3056
@whitneycammack3056 3 года назад
Thank you so much, when I get stummped I look for your videos and you are the most helpful out there!!!!
@ryanbates4570
@ryanbates4570 4 года назад
Mario, Thank you for being an excellent teacher when it comes to this. I learned faster from you than my instructor. Best.
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad my video helped you Ryan!
@throwingfacts1132
@throwingfacts1132 6 лет назад
My teacher wasn't very good at explaining this.. you helped so muchhh thank youuu 👌
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+tylerposey iseverything your welcome! Glad my video helped you!
@michaelbrowne4525
@michaelbrowne4525 3 года назад
I taught you well you just did not pay attention
@throwingfacts1132
@throwingfacts1132 3 года назад
@@michaelbrowne4525 Then why are you also here? need tips urself? 🤣
@michaelbrowne4525
@michaelbrowne4525 3 года назад
@@throwingfacts1132 that was a joke I dont know anyone there... great video tho
@throwingfacts1132
@throwingfacts1132 3 года назад
@@michaelbrowne4525 I know, I went along with your joke lol
@MrSupernova111
@MrSupernova111 4 года назад
This was an absolutely fantastic explanation of basic graphs and functions! I'm taking pre calculus and this is all I need to know to understand most of the course. Thanks!
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome!
@asterroux1102
@asterroux1102 3 года назад
this is really nice, kind of feels like being in a physical math class again, but with like a teacher who matches my needs pretty well already by default lol.
@jaceywilson2182
@jaceywilson2182 6 лет назад
oh my goodness, this helped me so so much! thank you for creating, great explanation!!!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Jacey Wilson your welcome! Glad my video helped you!
@fortimusprime
@fortimusprime 3 года назад
Best quick and easy explanation! Thanks Mario!
@valeriaguerrero7152
@valeriaguerrero7152 4 года назад
This was super helpful!! I’m currently in pre ap pre cal and watching review vids like this are a big help
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad my video helped you!
@marciebonet2232
@marciebonet2232 5 лет назад
This is such a helpful video! Thank you so much, I missed a lecture on this an was feeling stressed about it but now I get it!
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Glad my video helped you catch up on this topic Marcie!
@marijetaromicilic8548
@marijetaromicilic8548 4 года назад
Mario you are the best!!!You explain calme and with logic!!
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Thanks! Glad you like my explanations in the videos!
@zboyzz1827
@zboyzz1827 5 месяцев назад
Thank you so much. I got stuck with a terrible math teacher this semester and your videos are helping a bunch.
@MariosMathTutoring
@MariosMathTutoring 5 месяцев назад
Happy to help!
@lineitempoliticheads6100
@lineitempoliticheads6100 4 года назад
Thank you, this video helped me out alot in reading functions!
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome! Glad my video helped you!
@Khaloood125
@Khaloood125 3 года назад
Good stuff. Short and informative.
@NicoleCorby
@NicoleCorby 6 лет назад
I can't thank you enough for this easy to understand video.
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Your welcome! Glad my video helped you!
@mishtirelan3637
@mishtirelan3637 6 лет назад
This was extremely helpful to me. Thanks a ton!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Your welcome! Glad it helped!
@destinysmith3497
@destinysmith3497 6 лет назад
Great video, clear explanation! Appreciate the help!!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Destiny Smith your welcome! Glad you liked the video!
@adarshpettappa7583
@adarshpettappa7583 5 лет назад
Great videos, this explanation is way better then my math teachers. Please keep making much great videos
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Glad you like my videos Adarsh!
@collins3919
@collins3919 4 года назад
This video is helping me pretty nicely. I’m currently taking pre-Calc right now and this is the second time I’m taking it after failing it the first time
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad my video is helping you Collin! Lots of PreCalculus videos on my channel to help you get through this class.
@taruva
@taruva Год назад
thank u! i have a test tomorrow but i feel like i can ace it now!!
@aabattery4092
@aabattery4092 5 лет назад
Thank you very much. I really needed the explanations.
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome! Glad my explanation helped you!
@lagoonaa2003
@lagoonaa2003 4 года назад
This is really helpful!
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad my video helped you!
@renan6827
@renan6827 4 года назад
Great video. You taught so well !! 🤙🏿
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad you liked my video and my teaching method Renan!
@parvinajamshidovna7487
@parvinajamshidovna7487 4 года назад
Thanks so much. Here everything is super easy!😊
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad my video helped you Parvina!
@fouziasiddique6536
@fouziasiddique6536 2 года назад
Very well explained!
@maxgoldstein1536
@maxgoldstein1536 3 года назад
Hey. Loved the vid but I have a question. What do I do if their is no parentheses or radical or absolute value to help identify what’s on the outside or not. Please help
@twinflameslime
@twinflameslime 3 года назад
Thank you so much this helped a lot!
@tuanpham8093
@tuanpham8093 6 лет назад
hey guys do the growth factor, the a, affects the k?? like do we times/multiply to it or do we just leave it?
@arjundas7078
@arjundas7078 Год назад
This helped me a lot.
@floriswesterbeek9675
@floriswesterbeek9675 6 лет назад
Thanks Mario for the great vid!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Floris Westerbeek your welcome!
@bostonjackson9384
@bostonjackson9384 6 лет назад
Very helpful!!! Thank you so much!!!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Boston Jackson your welcome! Glad my video helped you!
@Hasan_1301
@Hasan_1301 6 лет назад
This is a great video, Thanks for the help.
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Hasan Mohammed your welcome...glad the video helped!
@nourzakaria6862
@nourzakaria6862 6 лет назад
A very helpful video. Thank you very much :)
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Your welcome! Glad it helped you!
@kelvinmabvurudza4941
@kelvinmabvurudza4941 2 года назад
Thank you it was really helpful
@oskarlange7557
@oskarlange7557 6 лет назад
Mario you are a lifesaver
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Oskar Lange glad my video helped you!
@juanparra6796
@juanparra6796 6 лет назад
On y=1/2 how do you shift units to the right or left?
@obscenecaffeine9876
@obscenecaffeine9876 2 года назад
Thank you so much!
@shuminchen815
@shuminchen815 6 лет назад
you are an awesome math teacher. Thanks !
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Your welcome! Glad my videos are helping you!
@j5803
@j5803 6 лет назад
your profile pic looks like the absolute function
@sha1na
@sha1na 3 года назад
THANK YOU!
@jannrubena.tolentino8205
@jannrubena.tolentino8205 2 года назад
Do you have a vid explaning about g in terms of f? It is related to parent function .
@ElizabethHernandez-fw3zi
@ElizabethHernandez-fw3zi 5 лет назад
Very helpful! God bless you
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Glad my video helped you Elizabeth!
@AbdulAziz-qp2iq
@AbdulAziz-qp2iq 6 лет назад
this is great.... thank you
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Your welcome!
@monicamejia3124
@monicamejia3124 6 лет назад
great video!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Monica Mejia glad you liked it!
@hopexiong8582
@hopexiong8582 6 лет назад
This is helpful! thank you!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Hope Xiong your welcome! Glad my videos are helping you!
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Want to learn how to do more challenging transformations? Be sure to watch the video I did here: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-tadUzmo5duU.html
@wiv1473
@wiv1473 5 месяцев назад
watching this right before my algebra 2 midterm. wish me luck
@gordonfelesina8146
@gordonfelesina8146 6 лет назад
Awesome!!! Thanks so much!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Gordon Felesina your welcome. Glad my video helped you...
@renewd
@renewd 6 лет назад
I understand the concept of the "step function", but it definitely can get a little tricky when dealing with transformations!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Chris Manhoff here is another video I did on step functions that may help you ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-tHwpj9b4zZo.html
@carolinebowen5140
@carolinebowen5140 6 лет назад
l have my math final tomorrow... this helped me so much! Thanks!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Great! I’m glad my video was able to help you!
@timemachinestudios8413
@timemachinestudios8413 6 лет назад
me 2, fuck
@j5803
@j5803 6 лет назад
THANK YOU MARIO! I was doing deltamath and it did not teach me the meanings of the transformations!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
You’re welcome Jolie!
@matthewjoseph236
@matthewjoseph236 6 лет назад
Also would g (x) = (x-1)^ -5 be horizontal translation right 1 unit and vertical translation down 5 units
@jt6170
@jt6170 5 лет назад
Yes
@lol-pf9cq
@lol-pf9cq 3 года назад
thank you so much
@joeblow1688
@joeblow1688 3 года назад
Very well done!
@MariosMathTutoring
@MariosMathTutoring 3 года назад
Glad you liked the video!
@muhammadfarooq2570
@muhammadfarooq2570 6 лет назад
Dear Mario, In case of 1/x function, the graph of 2/x is vertically shrunk instead of stretched as it is more away from y axis as compared to 1/x graph. What is your opinion? Regards. In fact 1/x and 1/x^2 have shrinking/stretching about origin.
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Very thoughtful questions. As far as shrinking and stretching...2/x is a vertical stretch from the parent graph 1/x meaning it is being stretched such that it is further from the x axis so to speak. As far as 1/x and 1/(x^2) these are 2 different functions...if you compared 2/(x^2) to 1/(x^2) it would be a vertical stretch. Hope that helps you!
@theojmandude3995
@theojmandude3995 3 года назад
Anyone else feel the chills when that marker hits the board?
@ballking6439
@ballking6439 5 лет назад
Dear Mario, How would u write an equation of a 1/x function with a vertical compress. Would it be 1/2/x for example or??
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Yes I believe you got it....or you could write it as (1/2)(1/x)....but not 1/(2x) because the way that one is written points more to a horizontal compression by 1/2. Hope that helps!
@user-rl7ni4rc9m
@user-rl7ni4rc9m 2 года назад
Thanks
@jianghaoyoutube5017
@jianghaoyoutube5017 5 лет назад
Thanks I finally understood
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Glad my video helped you!
@laceybrooks9244
@laceybrooks9244 3 года назад
thank you
@Saeed-du2eq
@Saeed-du2eq 3 года назад
Thank you saitama for teaching us how to defeat the evil villain
@fazalmian3701
@fazalmian3701 6 лет назад
this is amazing
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Glad you like the video!
@connorhernandez7772
@connorhernandez7772 6 лет назад
Really good teacher
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Thanks!
@lanjalanja733
@lanjalanja733 3 года назад
how do you express the shifts made for this function >> ‌ f(x)=|2x-1|
@arwaali9390
@arwaali9390 4 месяца назад
Thank you so much
@MariosMathTutoring
@MariosMathTutoring 4 месяца назад
You're most welcome!
@edalbyek6060
@edalbyek6060 5 лет назад
Yo this was so useful thx
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome!
@The_S_S_
@The_S_S_ 4 года назад
thx this helped allot
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome Sharv!
@samanthacherubin9911
@samanthacherubin9911 5 лет назад
Thank you sooo much
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome Samantha!
@yashkhurana9170
@yashkhurana9170 6 лет назад
thank you so much!!
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Your welcome!
@pradyumnvashishtha983
@pradyumnvashishtha983 3 года назад
life saver
@matthewjoseph236
@matthewjoseph236 6 лет назад
Also for -2 (x+3)^ + 4 when your graphing a parent function would u move all your original points to the left 3 units and up 4 units
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Matthew Joseph yes that is correct.
@matthewjoseph236
@matthewjoseph236 6 лет назад
The a value would be -2 so wouldn’t it be vertical compression by a factor of -2
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Matthew Joseph The negative reflection over the x-axis and the two stretches it
@matthewjoseph236
@matthewjoseph236 6 лет назад
Would the description of the transformation g (x) = -2 (x+3)^ + 4 be reflection across the x axis vertical compression by a factor of -2 horizontal translation left 3 units and vertical translation up 4 units
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Matthew Joseph it would be a shift left 3, vertical stretch by 3, reflection over the x axis, then shift up 4. Remember if the ‘a’ value is greater than 1 it is a vertical stretch and if it is between 0 and 1 it is a vertical shrink(compress). Great questions.
@LethalTalentz
@LethalTalentz 6 лет назад
Mario's Math Tutoring stretch by -2
@wajahatkhan9455
@wajahatkhan9455 5 лет назад
Thank sir!
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome Wajahat!
@nwto235
@nwto235 4 года назад
Thanks a lot teacher :)
@MariosMathTutoring
@MariosMathTutoring 4 года назад
You’re welcome!
@malviyagirl
@malviyagirl Год назад
you look ethereal!!!
@daviddemar8749
@daviddemar8749 6 лет назад
Thanks great video. You gained another subscriber Kudos from a later in life mathlete . And remember don't drink and derive! [hope you got the Calculus I silly joke].
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
Glad you liked the video David! Welcome to the channel.
@hypehouse5457
@hypehouse5457 5 лет назад
God bless you
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Glad you liked the video!
@naveensingh5787
@naveensingh5787 3 месяца назад
how to identify from given equation of function ,if it is one one ,many one etc
@yousefmohamed1381
@yousefmohamed1381 3 года назад
CLUTCHHH!!
@MariosMathTutoring
@MariosMathTutoring 3 года назад
Glad my video helped you Yousef!
@yehhhboiii4005
@yehhhboiii4005 5 лет назад
I dint really get half of this but thanks
@koushikvallam9277
@koushikvallam9277 3 года назад
The class was awesome but slightly increase font size 😊😊
@demy4383
@demy4383 2 года назад
wait for the square root of x + 2 problem why did we subtract 2 if there is a plus sign
@wrenshere4711
@wrenshere4711 4 года назад
2 classes away from a quiz that imma fail. But maybe not after this 😂
@MariosMathTutoring
@MariosMathTutoring 4 года назад
Glad my video helped you Wren! Good luck on your quiz!
@pokinchui8632
@pokinchui8632 6 лет назад
That is good , thx
@MariosMathTutoring
@MariosMathTutoring 6 лет назад
+Fresh M. Your welcome
@user-su3qy
@user-su3qy 5 лет назад
U make it easier for me
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome!
@fatimaben-akhmeij4890
@fatimaben-akhmeij4890 5 лет назад
Heello! First of all I would like to thank you a lot for this useful video or lesson that I cannot understant yesterday in class because our teacher used to go so fast! I understand it now! But, I don't know what does it mean the fifth function! y=[x] this is the first time I see it! Please may you answer to my question, teacher? Thank you!
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Glad you liked my video Fatima! That is the greatest integer function which is sometimes referred to as a step function because the graph looks like stairs...
@fatimaben-akhmeij4890
@fatimaben-akhmeij4890 5 лет назад
@@MariosMathTutoring Ah ok thank you so much! I am trying to draw the graph of y= x^2 -3x-4
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
This other video I did on parabolas may be of use to you... Parabolas Easily Graph All Types ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-X-6TWFX3NGE.html
@elifnothing
@elifnothing 3 года назад
why does x-2 shift to the right? if x is 1, then it'd be -2 and go in the negative direction. i'm confused.
@walidrazzari609
@walidrazzari609 6 лет назад
Bless❄️💯
@eehub6710
@eehub6710 4 года назад
Sir ,can you pls tell why when we have a negative sign in the function, why the graph is shifted to the right???
@MariosMathTutoring
@MariosMathTutoring 4 года назад
My Secret Math Tutor did a nice job explaining it in this video...go check it out: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-no59KJhndfc.html
@eehub6710
@eehub6710 4 года назад
@@MariosMathTutoring than you very much for this sir😊🙏
@faizakareem1888
@faizakareem1888 3 года назад
Preparing for SAT😞😞
@jt6170
@jt6170 5 лет назад
Thx
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
You’re welcome!
@dannyhong7586
@dannyhong7586 5 лет назад
Subscribed
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
Welcome to the channel Danny!
@dariousdennis5594
@dariousdennis5594 3 года назад
Me: Maths without letters. Not me: Maths with letters.
@Samir-rd8xp
@Samir-rd8xp 5 лет назад
Im still a bit confused, what would the transformation be for f( x/5) and -f(x).
@MariosMathTutoring
@MariosMathTutoring 5 лет назад
f(x/5) is a horizontal stretch by 5....meaning the x values will be multiplied by 5. -f(x) will multiply the y values by negative 1 thus reflecting the graph over the x-axis....hope that helps!
@Samir-rd8xp
@Samir-rd8xp 5 лет назад
@@MariosMathTutoring thank you for replying so quickly, it does help. One more question, what if there is a fraction before f(x)? for example: 1/2 f(x)
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