Horizontal and Vertical Graph Transformations

[Mimi30075]

What kind of a teacher chews on their sharpie?! xD

[Bulbasaur8787]

oh my god I actually get it now

Thank you so much XD

[YEUHNBD]

good vid ! where did you learn this math ? college ? high school ?

[cgrelon]

You are a genius!

[ahmedp1993]

Great work

Thx

[TheColorofThesa]

What i was taught in 4 days, i understood better in 9min!!! :D ThankYou Thank You :D

[VISHMAN14]

Youre much better then my stupid precalc teacher

[jamesleefirth]

you helped me understand this in minutes vs. reading through pages of babble. Thanks a ton, I'll be checking out some of your other videos as well, I'm sure. Cheers!

[bmmartinfan4life]

thank you for explaining everything the math instructors i have had in college could not explain this to where i could grasp the idea in its entirety

[YJ4]

I don't understand why if it is positive it moves to the left and if it is negative it moves to the right.

[dangerblad]

@YJ4 YEAAAH it just messes every thing up.

[rafael1877]

@YJ4 thats simple just set it to 0, for example x-1=0 and then solve the equations, which equals x=1. got it bud?

[toda9008]

thank u. youve explained better than my college prof cuz he's been confusing me.

[luisfnsc009]

thank you so much, u explain this way better than my teacher

[ehpaw1]

honestly,,, ur better than my teacher.. i wish u were my teacher.... very clear

[XxTwixyLovexX]

i love you man! these videos are amazing! you're better than my actual algebra 2 teacher!

[chaihwangt]

Good video. Sometime it is easier to draw the graph by shifting the y-axis and x-axis instead of redraw the graph..

[camdad14]

man I wish you were my teacher at school, this lesson as well as your others have proved to be very helpful. Keep up the good work

[sandyposty]

i dont understand how to graph y= (2x+3) squared. if you have a normal parabola, what are your transformations? also f(x)=I3x+6l what are the transformations?

[sandyposty]

i dont understand how to graph y= (2x+3) squared. if you have a normal parabola, what are your transformations? also f(x)=I3x+6l what are the transformations?

[cyberphant0m]

im studying engineering and im taking alot of math. I have to say its intimidating in class while professor is giving the lecture, but when i come home i watch these videos and you explain everything so nicely that these videos are helping me more than you know. :) keep up the good work

[McBirdec]

awesome. sound quality's not as good as the floor function video but still a great video



[patrickJMT]

@McBirdec yea, on some of my early videos, that audio was not the best. i think i have fixed that though on anything that is not over a couple of years old.

[masterclassskill]

Just a question relating to this. What would you do to find the new equation of the image line once the original equation, y=2x-1, has a +3 horizontal shift and a -1 vertical shift? This is Yr 10 Maths. A response would be appreciated. Your videos are really helpful. Thanks

[masterclassskill]

Your videos are really helpful and are great. What would you do if you to find the equation of the line once the equation ,y=2x+1, has a shift of 3 horizontally and -1 vertically. A response would appreciated. Thanks

[bluishgirL08]

Thanks, thanks, thanks!

Thanks to you, I now understand how to report this on class.

Hahaha, In case I'll be called, I'm ready. ;)

Btw, are the graphs of functions only taught in college?

If so, it was suprising that we're discussing these in high school.

You're so amazing!

[patrickJMT]

@bluishgirL08 no graphs are taught early on, so you should be seeing them in high school (and even middle school)

[RasCCe]

terrible audio ;(

[mrtoastpluh]

god bless you man you have literally saved me from failing math. you are better than all of my math teachers.EVER

[valsan51]

good video.

[valsan51]

this is a good video

[valsan51]

good video

[leemoody93]

This is something I'm having to briefly revisit for my A level.

I've never really understood it. I've always shoved it under the carpet, hoping it would't come up in the exams! Me and graphs have never mixed well but it is so simple!

I can't believe I didn't get it. This video really helped. Thanks.

[1336productions]

I have a GCSE maths exam tomorrow and the website given by our school has everything except graphical transformations. Thank you so much for these videos! I think you just changed my grade from an A to an A*!

[oggy312]

Ah phew! thank you it' morning before my maths exam aha

[Eljreiby]

Thank you, it seems much esier than what i read in my revision guide!

[laxman123332]

606 twss

[trinityfan92]

I'm a junior in high school and we've just started learning this crap. Now we're learning piecewise graphs. I'm really good with equations, but graphs kick my butt. So, this video is really helpful.

[kamranyusuf89]

hey patrick thanks man, could you do a video of shifts in terms of x

i mean for example x=y^3

now how do the shifts work ?

thanks by the way

[fafase]

OK it seems to be pretty simple but what is the purpose of shifting a function, where do we get this kind of situation? I mean what kind of problem would ask this transformation? If you see what I mean.

[MikayybeBabyy]

@SilentGhostKid Unfortunately I have learned that all college math classes tend to consist of is going over all the same stuff you learned in high school (unless you get into more advanced math classes like calc 2 or 3). They just add a bit more information each time. Superrr annoying.

But good luck on your test, I hope it goes well!

I also had a really shitty high school, and they definitely never even tried to teach us this stuff, so this is the first time I've ever gone over

[MikayybeBabyy]

You just made this so much easier to understand than my college professor.

Thanks so much for your help! :)

[patrickJMT]

@MikayybeBabyy my pleasure! i am always here... : )

[SilentGhostKid]

@MikayybeBabyy Your Learning this is Collage? ima 9th grader and i have a test on this tomarra. and its so stresssssing :(

[omotade2u]

thanks for helping.

know i can solve Horizontal and Vertical Graph Transformations.

[futtiaddict]

this was so helpful!

thank you so much!

[33Bubbles33]

thanks, it was a lot of help! cheers.

[josepaul2000]

This stuff is really useful!

[PinkyFromPK]

cool cool cool

very very good.

You should keep posting.

Bravo Bravo.

[josepaul2000]

I second that, this guy is amazing, btw, patrick, do you teach class?

[patrickJMT]

thanks for the kind words.

i taught for a bit, but then gave up on it.

now i teach anyone bored enough on youtube to watch

[josepaul2000]

hehe, such as me? :), seriously man, thanks, I mean more than that, I got these 2 questions right cause of the help I got from this video and another video which I also commented on (completing the square), btw does youtube pay you?, if they don't, then should :)

[bumeis]

seriously man .. you rock .. thank you so much .. :)

[rochead15]

ok so What makes the graph upside down

[dishank333]

i'll give you an example:

y=sin(-x) flips across y

y=-sin(x) flips across x

[cereaxx]

y = sin(-x) = -sin(x)

Nub.

[dishank333]

oops, i don't know what i was thinking

[LegendaryBurst]

i believe it makes it upside down when a or the number infront is positive or negative.

a(x)= upward

-a(x)= downward.

[sweetps100]

It is very reassuring to see a kind person willing to share his/her talent with others in need of one. I have had a difficult time with math this year, due to a poor conveying of material in class. I have consistantly been putting forth maximum effort in class but not receiving a grade that represents my understanding. Consequently, I have somewhat turned off my thinking to math. I thank you sincerely for your non-intimidating teaching techniques; due to your videos I regained my motivation.

[ravidaleg]

you're left handed!!!!]

tnx definatley a good teacher :)

[eVBM]

This is easy stuff though compared to trigonometric and integral eqations ;) i have those at my university.

Anyway, good job.

[akkikhan]

dude you are amazing.. because of you im gonna be at least writing something on my exam paper!

YOU ROCK

[t0myuri]

same haha

[TheEvilStig]

Thank you this is great!! 1 of my current teachers is not the best! she tought me this and this has helped me understand it better!

Just 1 question... If it was y=(2x) would it expand double the size parallel to the y axis?

[akkikhan]

I guess yes

[atomicnoodleNG]

thanks for all the vids. you've virtually replaced my math teacher. :]

[patrickJMT]

ha, nice!

[demonowner14]

lol same 4 me

[shifre]

did you use the word virtually to be funny and have a pun or was that coincidence? Sorry but I smiled on your comment.

Virtual as in this is teaching in the virtual world and he's virtually taken the place of your teacher? Sorry, but it's a good pun :).

Thanks PatrickJMT for the vid :)

Can we make clones of you so that you can teach at all the schools and we can throw away all the horrible maths teachers who made (and still are making) us students hate maths?

[MokonaMadoka]

my teachers lectures never made

that much sense and this helped

tremendously. many thanks.

[patrickJMT]

no problem, glad to help

[nevacaredless]

its all well ang good that you've explained (and very well) how the +s and the -s in whatever place affect your graph, but, with horizontal movements, could you eplain why, with an example, like if you got Y= x squared+2 (x=2 for eg.), you get nice and tidy y = 6. But in horizontal movements, youre jus changin the x axis values, not the y. How does this happen? i dunno im kinda confused. Please reply if u can.

[MarylandJuly89]

do u know what mathematician founded or created the vertical and horizontal shifts in graphs?

[patrickJMT]

well, descartes and fermat probably both discovered the idea of relating algebra and geometry through graphing at about the same time. i am sure they probably noticed the shifts as early as anyone! creating the XY axis was the brilliance; after that, any observant math person could notice the graph shift stuff!

[lmac122322]

You are excellent.  I always hated math until your videos. Its actually very interesting when you can do the problems. Instead of teaching math, you should train other instructors how to teach.

[dragonxneo]

=)!!!!!!

[sachtelj]

Do you have a way of doing this with a table? My teacher requires us to use tables and I am confused at how she gets them...

[patrickJMT]

not sure what you mean about the tables

[sachtelj]

Thanks for the kewl video...You are saving me a trip to math lab!

[ARae15]

you are my hero.

my math teacher is a retard and you saved me for my final exam!

thank you SO SO much

[patrickJMT]

hahah! now I am your math teacher!

good luck on the test! : )

[joe22092]

Thanks you taught me more in 10 mins then my math teacher did in 3 hours

[patrickJMT]

i AM your math teacher! : )

[ormusps2]

You have no idea how much this helped! I just summed three maths classes into 10 min. Thank you!

[patrickJMT]

who's got the skillz?! : )

[afgsabrina07]

Thank you patrick, btw how do you know that 1/x has a vertical asymptote on the y-axis?

[patrickJMT]

For rational functions (a polynomial divided by a polynomial) you always have a vertical asymptote for any value of x that makes the denominator zero BUT AT THE SAME TIME does not make the numerator equal to zero. Since x = 0 does this, we have a vertical asymptote at x = 0 (that is, the Y-Axis).

Likewise, if we were given f(x) = (x-2 )/ (x^2-4), there is only a vertical asymptote at x = -2

[UGAsuperstar25]

thanks this helped a lot

[patrickJMT]

no problem!

[frankfires89]

thanks for the review!