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). mathispower4u.wordpress.com/
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!
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.
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)
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!
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!
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.
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 :)))
In a nutshell, a(b(x+c)^2)+d a is for vertical compression or stretch if 0 < a < 1 Vertical compression. 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
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
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 ......
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.
