Bless you! Thanks so much! I was in tears yesterday over this topic. Now I understand not just this topic, but my brain is exploding beyond this topic. Today, I again believe that math is beautiful and exciting.
wow!! i didn’t understand this topic at all today in school and i have a test tomorrow but after watching this video and doing a few practice problems i feel completely knowledgeable about the topic! thank you so much!
Thank you so much! I have newer videos on this channel and even newer ones on my new channel here : ruclips.net/channel/UCuQ5RS6WE8xBoRcTAEc9e4A?view_as=subscriber
Math videos on RUclips are more popular the more useful they are allowing more people to see and understand, this sucks by comparison and I'm surprised you could get much out of it.
@Vipul Konnur i know your intentionally ignoring the "by comparison" part of my sentence but just for arguments sake: it's crappy overall because it's harder to understand which is all that matters in a math video. well that is unless you have some fetish for fancy graphics in math videos or something?
@Vipul Konnur well different people have different understandings of math even if it all ends the same so it might just be easier for you to learn from here while i can't pick up nothin from it. oh well such is life.
Thank you at my school we had a test on this i got an 100 on the test, at first i didn't know anything about this, the next day i watched this video. This video saved me from getting a 0 on the test. Thank you once again
It is confusing because you do not realize what is taking place. It is describing the effect of changes that affect the x and y values. The a(ax-h)^2+k is changed by changing any of the variables in that equation. You must know the role of the variables in the shape of the graph in order to understand the transformations.
Excellent video! Now, I may be off my hinges here, but are you, by chance, the SAME Lisa Ruddy who used to be a prominent cast member on "You Can't Do That on Television"? If so, then I owe you my childhood on top of my academic life, because before watching this video, *I didn't know* a whole lot about these transformations! Thanks for the help!
If you look at 13:15, the phase shift is 1/3 left, not 1 left. The reason for this is because you MUST factor what is in the brackets. So instead of (x) = -(3x+1)^2+5, it will be f(x)-(3(x+1/3))^2+5
Hi, I didn't watch the video all the way through, but for ex 2 (the downward facing quadratic), the horizontal shift is actually to the left by 1/3. You must factor out the 3 from 3x+1 first to become 3(x+1/3) before confirming your horizontal shift :) You can confirm by graphing!
Hey Lisa Ruddy, I'd like to follow this series however you don't have a playlist showing which videos we should follow. Could you please let me know how i can follow this series? Would love to learn from your video step by step. Could you possibly make a playlist with an order of videos to follow? thanks!
You talk to us like we're in middle school (not a bad thing -- it's clear), but I know this ain't for no middle school class. I learned this in High school, but I'm taking this in college. College seems dumb in many ways. They re-teach you stuff you learned in Highschool, but to be fair I half-way forgot most stuff anyways.
Shouldn't use "a" to represent both vertical and horizontal stretch/compression. That would be like using h to represent both types of shifts. They are independent of each other. But the rest of it is good.
THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU
I am confused about what I start with like the order some people are telling me I start from the right to the left and others tell me I start with whatever the x is with so if someone could let me know
Alright so I came here with 12 minutes before I needed to know how to solve this, I waited 8 minutes before she explained and she doesn't seem to care if you know the difference between expanding or shrinking so here I'm left probably flipping the equation instead and having no idea how to do the most basics things when somebody with a brain could've taken 4 seconds to be like "put the there negative and boom." Still have no idea how to "compress horizontally"
@@unknownvariable2456 to apply a vertical stretch u change the a value outside the bracket. if the value of a is > 1, it is a vertical stretch where the y value is multiplied by the factor of a. if the a value is between 0 and 1, it compresses- i think of it as multiplying the y value by the a, which in this case is a fraction, so the whole graph will be flatter (and so: compression). horizontal stretches are related to the a value inside the bracket- it affects the x value. but the horizontal is very counter intuitive. if that a value (again, all inside the bracket) is a fraction, then it actually stretches along the y axis, so you'd have to multiply the x value by the inverse, so 1/a. if the a value in the equation is > 1, it would actually /compress/ the graph horizontally along the y axis, since again you'd multiply the x by the inverse of a, which in this case would be a as a whole number. does that make sense?
edgy t first of all you really on needed to say the value your multiplying it by needs to be less than 1 not ALL THAT, second of all: you're a bit late.
transformations start at 7:30 :)
Thanks
Great!
😘😘
hi i'm also a person ☺
Thank you
Bless you! Thanks so much! I was in tears yesterday over this topic. Now I understand not just this topic, but my brain is exploding beyond this topic. Today, I again believe that math is beautiful and exciting.
Kathleen Marie Amen To that sister
Shut up
Sensitive
@@BTDSHI Stfu
This was so dramatic but cute and inspiring
You explained this so much better than my professor! Love the way you broke it down step by step. Thanks!
wow!! i didn’t understand this topic at all today in school and i have a test tomorrow but after watching this video and doing a few practice problems i feel completely knowledgeable about the topic! thank you so much!
Fantastic explanation to those who are new to this subject.
Thank you so much! I have newer videos on this channel and even newer ones on my new channel here : ruclips.net/channel/UCuQ5RS6WE8xBoRcTAEc9e4A?view_as=subscriber
Exactly
Thank you helped me understand this a little better. I was so lost in class
Jessica Guerrero same
Math videos on RUclips are more popular the more useful they are allowing more people to see and understand, this sucks by comparison and I'm surprised you could get much out of it.
@Vipul Konnur i know your intentionally ignoring the "by comparison" part of my sentence but just for arguments sake: it's crappy overall because it's harder to understand which is all that matters in a math video. well that is unless you have some fetish for fancy graphics in math videos or something?
@Vipul Konnur well different people have different understandings of math even if it all ends the same so it might just be easier for you to learn from here while i can't pick up nothin from it. oh well such is life.
You made very good use of the 12 mins. You touched on a little bit of most aspects of functions and kept it short and sweet. Thank you.
My teacher uses the word compression. Is it also called a shrink? Thanks!
MoBro C me too
yeah and expansion = stretch
Yes
compressions means narrow, so yes its shrink...
@@ajl4809 you know, i used geogebra, and i invented compression by myself only to find it was already discovered
Thank you at my school we had a test on this i got an 100 on the test, at first i didn't know anything about this, the next day i watched this video. This video saved me from getting a 0 on the test. Thank you once again
thank you for making this video. It really helped me understand the basics of graphing as I am having a difficult time getting it to stick!
why'd the video cut off tho she was getting to the good part LOL
Sorry! I realized I had made a mistake! I have a new and improved Transformations video here!
ruclips.net/video/HEFaRqI8TQw/видео.html
This video helped me get a 100 on my trig test today! Thank you! 💛
Lisa Ruddy I’m not in pre calc yet, I’m in trig, however I will keep that in mind for next year when I do take pre calc ((:
James Kosco really? For some reason I learnt it in trig like a month and a half ago.
Thank you, I finally get it. Your explanations were perfect for me. Thanks again!
If only I learned this much in class. God bless you!
this video is better than the 3 hour lecture my perfessor gave us
Can you please be my teacher my teacher makes it so complicated 🙄😂
More than the voice quality, these instructions are pretty helpful. You inspire me!
This shit is confusing. Thanks
Hope it was helpful! Thanks for watching!
😂😂
It is confusing because you do not realize what is taking place. It is describing the effect of changes that affect the x and y values. The a(ax-h)^2+k is changed by changing any of the variables in that equation. You must know the role of the variables in the shape of the graph in order to understand the transformations.
Wow! Thank you SO much for explaining this topic so detailed! It totally makes sense now! :)
Thanks to you say you're such a good teacher I looked it at least 10 videos this one conquers all of them so easy
Damn u just made maths a whole easy for me.... thank u so much...
Thank god you are here to save me. I understand every thing now, I was so lost in my class
OMG THANK YOU SO MUCH
i swear you are an angel that have fallen from the sky
What about inverse functions and taking square roots of graphs? Good starting point but need more!! :)
Amazing work. Thank you so much.
and..
Who the fuck would come to a Maths tutorial video and dislike it?
I did lol, I hate math
austin wilson HAHA
people that dont get it I assume. LOL
Excellent video! Now, I may be off my hinges here, but are you, by chance, the SAME Lisa Ruddy who used to be a prominent cast member on "You Can't Do That on Television"? If so, then I owe you my childhood on top of my academic life, because before watching this video, *I didn't know* a whole lot about these transformations! Thanks for the help!
If you look at 13:15, the phase shift is 1/3 left, not 1 left. The reason for this is because you MUST factor what is in the brackets. So instead of (x) = -(3x+1)^2+5, it will be f(x)-(3(x+1/3))^2+5
could not understand this concept until I saw this video, THANKS !!
Thanks so much! This topic is easier now.
Lisa Your teaching make transformations seem so simple thankyou so much
Thank you so much! Going on for my final. 🙏🏽
Thanks- first time someone made it so clear. Bless you.
helped me after 7 years... great job
Hi, I didn't watch the video all the way through, but for ex 2 (the downward facing quadratic), the horizontal shift is actually to the left by 1/3. You must factor out the 3 from 3x+1 first to become 3(x+1/3) before confirming your horizontal shift :) You can confirm by graphing!
I will check this
What a video, I understood a 2hr+ lecture by watching a few minutes of this video..
Very explainable tutorial. The only thing is that there should be ad example shown on the graph with the transformation in the last example.
Hey Lisa Ruddy, I'd like to follow this series however you don't have a playlist showing which videos we should follow. Could you please let me know how i can follow this series? Would love to learn from your video step by step. Could you possibly make a playlist with an order of videos to follow? thanks!
You are a life saver. Thanks so much
This helps a lot. I hava a chapter test tommorow and know nothing lol.
thank you so much God bless
this video was rlly helpful. its a shame it couldnt have been longer
Thanks Lisa really appreciate what ur doing to help other, I denfinitly will check ur other channel, thanks have a blessed week
Thanks lisa to clear my doubts.
You made it so much easier, thank you so much!!!
You seem like such a sweet teacher I wish I had you
can a graph be both horizontally compressed and vertically stretched?
Yeah, think of it as a really really flexible erection
u deserves 300 million followers!!
You talk to us like we're in middle school (not a bad thing -- it's clear), but I know this ain't for no middle school class. I learned this in High school, but I'm taking this in college. College seems dumb in many ways. They re-teach you stuff you learned in Highschool, but to be fair I half-way forgot most stuff anyways.
That doesn't sound dumb to me...
god bless amen, you have saved me in time for my final :)
Thank you very much!! I cry so much over math BC it's so frustrating. I'm Sick of not understanding
what happens if the number before the parenthesis is negative?
how to identify from given equation of function ,if it is one one ,many one etc
For whatever a is just look at the ordered pairs you have and multiply it by the the x values by the reciprocal of a. And that’s how that works.
Lisa Ruddy Thanks PreCalc Chapter one test next week!
13:00 you need to factor out 3 before you find the shifts. The final shift is 1/3 left
Lisa Ruddy video ends abruptly at 12:13 Us it supposed to?
Lisa Ruddy okay and thanks
Super ! Thanks a lot! Nicely explained and quick to watch!
This helped so much, thank you
Thank you so much 🙏🙏🙏
Thankyou so much you explained it alot better than my teacher
Ty so much.. Your video is so help full for me
Thanks alooot for making math so easy
Thanks! If only you could get recognized more
Isn't there also rotations? I think you forgot those.
You do a better job then my goddamned teacher. Thank you.
anyone know y=x^2 and y=-x^2+4, i thought when we reverse the sign of x it reflects in y-axis , but why this graph is reflecting in x-axis?
for the second example of transformations, you would have to do the shift to the left before the horizontal shrink.
What if my first a value is negative? Is that a vertical stretch or compression?
Omg I wish you were my teacher 😭😭😭 come teach meee ur really good ❣️
I don't understand how is the slope is equal to 1 for linear function... Can someone explain this to me please
This was really helpful thank you lotsss!!!!
can someone please explain for me a little more I have ADHD and so I just need some to dumb it down a little for me to understand better
if this is just the introduction so where is the continuo, please
Shouldn't use "a" to represent both vertical and horizontal stretch/compression. That would be like using h to represent both types of shifts. They are independent of each other. But the rest of it is good.
THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU
How do you know if it is a stretch vs a shrink
I learned more in 12 minutes here than I have in $12k
Cant believe I just found this channel. Omggg where were you? 😂
@@lisaruddy8493 Ok. Thank you so much. I'll be sure to check it out.
Thanks for the help ....you were great
transformations start at 7:30
Thank you so much! :D
This was wonderful!!
Added to PreCalc review list
For reflection, multiply by what? Thank you!
I am confused about what I start with like the order some people are telling me I start from the right to the left and others tell me I start with whatever the x is with so if someone could let me know
Your voice y so sweet❤, thanks.
this was very helpful
Thanks a lot
Thank you so much for this video....
You're very welcome! Thanks for watching!
If only you were my teacher
God bless u for this vid
Better than my spanish math teacher😫
Thanks !! so helpful
Why did it cut off at the end also thank you a lot this really helped
In the linear function, how does the slope=1?
Very helpful video, thank you!
lifesaver
Now I understand this way better
Alright so I came here with 12 minutes before I needed to know how to solve this, I waited 8 minutes before she explained and she doesn't seem to care if you know the difference between expanding or shrinking so here I'm left probably flipping the equation instead and having no idea how to do the most basics things when somebody with a brain could've taken 4 seconds to be like "put the there negative and boom." Still have no idea how to "compress horizontally"
Apparently you use numbers in between 0 and 1 to compress. Or fractions.
@@unknownvariable2456 to apply a vertical stretch u change the a value outside the bracket. if the value of a is > 1, it is a vertical stretch where the y value is multiplied by the factor of a. if the a value is between 0 and 1, it compresses- i think of it as multiplying the y value by the a, which in this case is a fraction, so the whole graph will be flatter (and so: compression). horizontal stretches are related to the a value inside the bracket- it affects the x value. but the horizontal is very counter intuitive. if that a value (again, all inside the bracket) is a fraction, then it actually stretches along the y axis, so you'd have to multiply the x value by the inverse, so 1/a. if the a value in the equation is > 1, it would actually /compress/ the graph horizontally along the y axis, since again you'd multiply the x by the inverse of a, which in this case would be a as a whole number. does that make sense?
edgy t first of all you really on needed to say the value your multiplying it by needs to be less than 1 not ALL THAT, second of all: you're a bit late.
Unknown Variable you’re welcome
you're a bit late.
Thank you!
The version is kinda old but it make sense tho, thanks a lot
Incredibly helpful! Thank you!