Function Transformations: Horizontal and Vertical Stretches and Compressions
This video explains to graph graph horizontal and vertical stretches and compressions in the form a*f(b(x-c))+d. This video looks at how a and b affect the graph of f(x).
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Пікірлер: 173
13 years later and it's still helping people. Thanks alot sir.
@Mathispower4u
9 ай бұрын
You are very welcome. I appreciate your comment!
@NoorMarwahGK
7 ай бұрын
Wow, no way he still commented.@@Mathispower4u
@pribbin
4 ай бұрын
WW
Really helpful, I searched for this point for a quadratic and cubic function but never found one, until this poped up. What a legend
11 years later and this video still saving us ...
Thank you so much. I was learning vertical stretches and compressions from a book, and they were not clicking at all. Now I realize how simple they are!
Really appreciate. This is by far, the most helpful math tutor I've find in all youtube. Saved my gpa, saved my marriage, saved my life....thanks so much!
@Mathispower4u
10 жыл бұрын
Thank you for such a nice comment. I'm glad I could help.
@MrSeagull16
9 жыл бұрын
saved your marriage?
@121212narutoful
8 жыл бұрын
+MrSeagull16 lool
@alissa2222
4 жыл бұрын
@@MrSeagull16 LMAOOO his wife said "if you dont know how to graph a parabola, im leaving you"
@MrSeagull16
4 жыл бұрын
@@alissa2222 it's still funny now 😂
So basically vertical stretch and compression is changing the y values by a number. 3f(x) is multiplying (or stretching) the y values by 3, whereas 1/3f(x) is dividing by 3 (aka compressing by a factor of 1/3). Horizontal stretch and compression is the same thing but inside the function. Also for horizontal stretch and compression, the values are reciprocal-ed, so f(1/3x) is horz. stretch not conpression. F(1/3x) is tripling the x values, and f(3x) is dividing the x values by 3. I hope this makes sense because it took me a while to try and figure this out.
@TelepathShield
Жыл бұрын
Also for horz. stretch and compression, it is inside the function so for example in f(x)=sqrt(x), horizontal stretch and compression respectively would be: f(x)=sqrt(1/2x) and f(x)=sqrt(2x). Vertical stretch and compression is on the outside and respectively they would be: f(x)=2sqrt(x) and f(x)=1/2sqrt(x)
@thekinghawk1895
Жыл бұрын
thanks this helped
This video came out when i was born Lol. Thanks anyways It helped a lot.
ok guys so if you still dont get it... for vertical stretches and compressions a>1 means that a is not a fraction or decimal and 0
@AshveerGrewal
4 ай бұрын
if a>1 it can be a fraction or decimal it just has to be greater than 1 for example 5/2 or 7.3
Sooooo helpful!! I am reviewing precalc this summer on my own b/c I have to take Calc 1 this fall. I just read the transformation section today and for some reason it wasn't clicking with the horizontal and vertical stretching part, but your video made it click for me! lol thanks!
@Mathispower4u
7 жыл бұрын
If you are interested in a free self-study Precalc course, you may want to check out phoenixcollege.edu/mooc. Thank you for the comment.
Very nice! You have compressed the information nicely without stretching the truth within it!
Still don’t get it . My test is gonna be less than 12% for a fact
@elizabethgarcia3106
5 жыл бұрын
Same
@atikshsingh1598
4 жыл бұрын
how was it
@mihirshaik1203
4 жыл бұрын
@@atikshsingh1598 lol
@ohmelowpine1647
3 жыл бұрын
How’d your test go
@reefym2627
3 жыл бұрын
Oh Melowpine I failed that class and then got a 90 and a 98 on redo classes the following semester.
Thanks for the help! I was stumped over my hw for the past hour and this really helped clear things up!
Sooooo for 'a' and 'k', they are meant to stretch and compress the graph in the same direction; furthermore, the terms stretch and compressed are connected to the relationships the function has with each axis. Thanks for clearing up things!
Thank you very much, this was a great lesson, that helped me a lot, you are a very good teacher.
thank you so much..i have been searching for the explanation about the horizontal stretch..now i finally found it..thanks a lot
how do I know when to stretch a function vertically and when to compress horizontally?
@Snow-eq4pr
4 жыл бұрын
when b more than 1 the function stretch vertically and in the same time it compress horizontally
What program do you use to show the example in real-time?
where does logic behind the rule: 'multiply each x-coordinate by 1/b' derive from?
@AlexandrBorschchev
3 жыл бұрын
bruhh ikr
@rickperez8975
3 жыл бұрын
Think about what x-value do I put in to get the original y-value back out? If I have (y = x) and I change it to (y = 5x) then in order for me to have the same y-value output I need to input and x value that is 5 times less, or (x/5). I know this comment is old, but hopefully it helps someone in the future because this is a great question.
@krypticcryptic5752
3 жыл бұрын
@@rickperez8975 lol the comment was 7 years ago, your right tho you helped me understand righ before my test. Thanks 🙏
@krypticcryptic5752
3 жыл бұрын
Just finished my test, got a 97. You helped me, thank you very much
@lawrenceliang6670
3 жыл бұрын
@@rickperez8975 Thank you it's really helpful!!!!
Thanks! I have a test in 1 hour that includes this and I didn't understand it well until I saw your video! thanks a lot :3
@fargo4857
Жыл бұрын
how did the test go?
In a nutshell, a(b(x+c)^2)+d a is for vertical compression or stretch if 0 a> 1 vertical stretch. while horizontal is opposite. b is for horizontal comp or stretch c is horizontal translation if pos goes left if neg goes right aka flipping + or - for direction d is vertical translation based on symbol
so if the problem says stretch horizontally by a factor of 2 I multiply by (1/2) or 2?
I have never understood this until now, thank you!
Thanks a lot for such an amazing, clear, and concise lesson! The quote at the end is also something to think about!
@Mathispower4u
9 жыл бұрын
Thank you for the comment.
Please say me which software you use for representing the a imitated grahp?
Hi this vid was a long time ago but I wanna ask ya a really quick question: I recently saw in my class that my teacher, whose example is y = -2f[4(x-3)]+7, says that the horizontal compression by a factor of 4 while the textbook calls it a stretch by ¼ and she says that what's written in the textbook doesn’t make sense. May I ask your professional opinion on which one makes more sense? Thank you for both your vid and explanations. Helps me a lot with these kinds of math problems :)))
Thats a really nice video. I was not understanding this for a long time. With just this video, I understood this. Thanks a lot!!!!!!!!! :):)
How did he take the numbers for x for the function g(x)=x/2 and h(x)=2x
This video was really good!. Thank you so much!
3:19 what is the horizontal stretch/compression factor when between 0 and 1?
oh my gosh thank you so much! I have a test today on this and now I finally understand this lmao
@yousefelhadadjoseph7920
3 жыл бұрын
Can i have ur insta snap??
@Bri-mn9hi
3 жыл бұрын
LMFAOA
Sorry what is the name of this educational software?
this did help explain it a little better i think thanks
This helped me a lot thank you
Thank you! You saved me!
Thank you. This was fantastic
Thank you for the video really explained a lot.
whats the difference between the horizantal stretch and the vertical one? in the animation it looks the same. if its less than one its goes farther and and if its greater than one it gets skinnier
@eamonrichards1246
3 жыл бұрын
No
is there any function where horizontal compression are same as vertical strech and what would be the name of that function
@Ivanbadenh
2 жыл бұрын
f(x)=x because 5f(x) = 5x and f(5x)=5x so f(5x)=5f(x)
What grade are y'all in ?
I loved this thank you for sharing!
@mihirshaik1203
4 жыл бұрын
yea
Bro I’m boutta have the test in an hour and this is the ONLY thing I’ve ever struggled on in math. I’m cooked man
@Mathispower4u
4 ай бұрын
How did it go?
very well explained.
Thank you! Thank you, thank you!!
were are you getting the x values the function of h(x)
@mihirshaik1203
4 жыл бұрын
yes
which software did you use to illustrate these diffrent functions?
@LWild-jx1io
5 жыл бұрын
you can use GeoGebra.com
Great Video!
thx man really appreciate the help
So A is the vertical stretch and compression? and B is the Horizontal stretch and compression?
What about a negative number by x? Like: -2x
It is really helpful thanks
so even if only one y value is less than the x value and the others are greater that still means its a compression??
Well done. Thank you sir.
Well done. Thanks!
much better taught than my teacher
very nice, thanks
This video was extremely helpful! Saved my gpa, saved my marriage, saved my life! @Ivan Herrera
Thank you very much.
Thank you very helpful
This was an exceptionally clear and easy to understand math video - I understand this concept so much better now. Thank you so much.
wait so a vertical stretch is the parabola narrowing, and the vertical shrink is the parabola widening?
@joshuamendoza2720
5 жыл бұрын
Yes
I get it now thanks
god bless this video
Thank you! 🦋
thankes alot for the good explen ^-^
what if the number is negative
what is the difference between a horizontal compression and a vertical stretch
@lukaszha8826
7 жыл бұрын
Hussain Aladwan that's why this video is confusing and should not be liked
@ice5crystal
7 жыл бұрын
Hussain Aladwan they're actually the same
nice video. very informative video about graph.
@Mathispower4u
Жыл бұрын
Thank you!
Im confused what if the factor for the vertical shift is 3/2 ?? ughh
@Mathispower4u
10 жыл бұрын
3/2 = 1.5 Vertical stretch by 1.5
Thank you
where can i get those slides please?????
Thank you very
thank you so much!!!!
@mihirshaik1203
4 жыл бұрын
same
Hlo i would love to see you reply plz
thanks
Nice video gamed f45
The quote is by Khalil Gibran, not kahlil gibran
What if a or b is less than 0?
@AT-xv5yn
4 жыл бұрын
use the absolute value
@epicchocolate1866
3 жыл бұрын
If it is negative that is a reflection about the x axis (a) or the y axis (b)
would have been better if intercepts were included
thank you
I’m in middle school and I have a test tomorrow about this… hope I pass 🤞
horizontal dialations are x values why are you calculating the y values? that was very confusing
Thanks in 2019
@mihirshaik1203
4 жыл бұрын
yes
math has me sobbin
there are so many easier ways
2:45 AND 5:20
Hate learning via slides.
a*f(b(x-c))+d where : a is Horizontal compression and Stretching b is Vertical compression and stretching it would seem you could achieve the same results through either method ......
not clear at all :(
@hanakuneko4351
6 жыл бұрын
Maybe you're too ill witted
@antytburner2015
4 жыл бұрын
smh my head
@jacobsetton811
4 жыл бұрын
My gosh children
The video goes way too fast and I have to keep stopping a going back, a lot of pausing. And, I still don't get it after watching this video twice. Slow down.
@Nobes
5 жыл бұрын
Pausing is there for a reason.
2:18 e 5:05
Makes no sense
this explanation is horrible I am not getting it... explain better not getting it!
@antytburner2015
4 жыл бұрын
Eden Molinar ly eden
@antytburner2015
4 жыл бұрын
father
Auto r
my brain dead
super awful