Thanks so much, I don't know what I would do without your videos. I struggle for an hour trying to understand, and got it within 5 minutes of the video.
AWESOME!!! I have learned so much from your instructional videos over the past 6 months as a 35 yr old college student. They have helped me in maintaining a 4.0 GPA. Thank you so much! After watching some of your videos on topics I'm currently studying in precalc, I have come to a much fuller understanding of the concepts. I just made up a quadratic function, graphed it, and then produced a transformation for it and graphed it successfully. I've been watching your, and others', videos and studying, and practicing for the past six hours in preparation for my precalc exam tomorrow morning. I now feel more confident about it and am rather excited. Thanks again! You're awesome Mr. Whitt!
Thank you Mr. Witt. I watched and repeated your steps and its clear because my textbook of college pre-Calc is trying to impress everyone with a lot of language and implied knowledge that I just don't have.
Best of the best math teacher with clear explanation and examples of all varieties, learned a lot from you. I would say, a lot better than from my college Algebra book.
As usually he's a great teacher! This leaves me wishing to see him challenged not only by these complex math operations but also by explaining some hard math concepts like, for example, integrals.Anyway I can't help but always thanking him for his help!
Good morning Mr. Whitt, thank you again for a great math video instruction. Thank you for the recent explanations. I do have a question with video time stamp 20:25, 20:30- I notice in the x-y table it was empty, then in 20:30 time stamp there appeared the x- coordinates. to get to the positive square root I notice you had to find numbers that will equal to the positive square root. I learned recently in class that you can not square root a negative number as the base square root, it will give you a negative/ imaginary number?
I’m in 12th garde getting ready to go into collage pretty soon and I know that one day I will run into this kind of work problems and watching you so far Is the best Im starting to understand little by little but I know this will do me so good and I hope to be a professional math teacher haha I swear ! May god bless your heart Dude your awesome 😎
One question for you, how do you know which x-values to use when you are setting up your little T-chart, or x and y chart? For instance, example #4, how did you know to use -4, -3, -2, -1, and 0? Is there a basic rule to knowing which values to use even for the different types of functions, not just the quadratic one?
+ISIAC JONES Yes, I usually find the central point like the vertex and use values to the left and right of it. However, it may vary depending on the type of function.
Oh ok, thanks for the clarification and the quick response. And after watching it over again I noticed you did mention that in the first example, must have missed that sorry!
+Jacob Stephens No, everything is not covered. Videos are still being made. In no way is this channel a resource that covers every math concept for any course. We have a few videos in comparison to other channels that have thousands of videos. Most likely they cover more concepts than we do. Check them out!
The values I choose are mostly arbitrary (random). Generally I pick numbers that are small and are easy to plug into the function with no drama. As long as the values you choose are in the domain of the function, the end result will be the same. Also, keep the shape of the parent function in mind to ensure the graph is completely fleshed out.
Professor Whitt, How did you derive the equation Y=a[b(x-c)]+d from the standard form of Ax^2+Bx+C. I still could not figure it out. What did you factor or do to obtain it? Thank you sir~
+uiticus Use the process of completing the square to obtain vertex form. Keep the variable y isolated by working only on one side of the equation or simply solve for y again after completing the square. Here is a video going over completing the square: th-cam.com/video/1tIXSI-dxZQ/w-d-xo.html
Once the equation is rewritten, I use the coefficients in front of the parentheses and variables according to the format shown on the 2nd page. For instance I could show that the first equation is equivalent to y = 1(1x - 0)² + 2. Therefore, the values of a = 1, b = 1, c = 0 and d = 2. Hope that helps you Darlene!
Fort Bend Tutoring good morning Mr. Whitt! Thank you again for your much appreciated math instruction. “Question” so the variable letter “C” in the formula always is set to 0?
Mr. Whit, this is an awesome tutorial, but I'm not clear on how you're choosing the X - Values in the chart to determine the Y - Values. Also, I am not clear about how to set up the second equation, specifically in problems 3 and 6. I am assuming that you are still responding to this particular tutorial, and if so, I would truly appreciate any additional help you may give ...
+Luis Diaz I factored out ½ from ½x + 2. Dividing each term by ½ leaves x + 4 within the parentheses. Check my accuracy by multiplying ½(x+4). Do you get the original ½x+2? Check out this video on Factoring the GCF: th-cam.com/video/JPYfGMeqzzk/w-d-xo.html
![Evaluating Piecewise Functions [fbt]](http://i.ytimg.com/vi/a5_ApJrEZLI/mqdefault.jpg)
![Evaluating Piecewise Functions [fbt]](/img/tr.png)
![Graphing Piecewise Defined Functions [fbt] (How to Graph Piecewise Functions)](http://i.ytimg.com/vi/VXc7PjVl4UY/mqdefault.jpg)
Great teacher who can alter the mood to suit the occasion.
Thanks so much, I don't know what I would do without your videos. I struggle for an hour trying to understand, and got it within 5 minutes of the video.
+Tee R Happy 2 help Tee! Thanks 4 watching!
videos are still teaching me in college. Keep it up Mr. Whittington!
I'll do my best Trey! Thanks 4 watching!
AWESOME!!! I have learned so much from your instructional videos over the past 6 months as a 35 yr old college student. They have helped me in maintaining a 4.0 GPA. Thank you so much! After watching some of your videos on topics I'm currently studying in precalc, I have come to a much fuller understanding of the concepts. I just made up a quadratic function, graphed it, and then produced a transformation for it and graphed it successfully. I've been watching your, and others', videos and studying, and practicing for the past six hours in preparation for my precalc exam tomorrow morning. I now feel more confident about it and am rather excited. Thanks again! You're awesome Mr. Whitt!
That's wonderful 2 hear Brian! Good luck on your Pre-Calculus exam! I'm rooting 4 you!
One of the best "transfunction" Vids on the planet. Tku..
Thanks 4 the support Dean! 👨🏾🏫😁
Even though I really enjoy my College Algebra teacher Mr. Witt is helping me sooooo much because I can have review at any time. Thank You
Thank you Mr. Witt. I watched and repeated your steps and its clear because my textbook of college pre-Calc is trying to impress everyone with a lot of language and implied knowledge that I just don't have.
+Chrystal Calloway My pleasure Chrystal! Happy 2 help!
Best of the best math teacher with clear explanation and examples of all varieties, learned a lot from you. I would say, a lot better than from my college Algebra book.
Keep the great feedback coming Justin! I appreciate your testimony!
I haven't seen this information in about 20 years, so I'll have to go over a couple of times, but another outstanding job by an outstanding teacher.
Thanks James! We appreciate the feedback!
You are the man, Mr. Whittington! This just helped me tremendously on a Calculus quiz! Scored a 97.5% !
Congratulations Valderrama! I’m so proud of you! Way 2 go! 👨🏾🏫😁
As usually he's a great teacher! This leaves me wishing to see him challenged not only by these complex math operations but also by explaining some hard math concepts like, for example, integrals.Anyway I can't help but always thanking him for his help!
I'm crossing my fingers! Integration: The Power Rule [fbt]th-cam.com/video/r7WVO7mFNCk/w-d-xo.html
I didn't know it! Thanks! I'm going to watch it !
My pleasure!😀
Very helpful video! Many thanks for this one. 🙌
You got it Ezra! Loving the consistent feedback btw! 😊👨🏾🏫
Mr Witt you are owe some . It's really simple and clear.
Happy 2 help Rajasekhar! Thanks 4 watching! 😁
The best video on transforming functions
Thanks 4 the support Mohd Maj! I really appreciate it! 👨🏾🏫😁
Thanks so much Mr. Whitt. I finally get this stuff!
Good morning Mr. Whitt, thank you again for a great math video instruction. Thank you for the recent explanations. I do have a question with video time stamp 20:25, 20:30- I notice in the x-y table it was empty, then in 20:30 time stamp there appeared the x- coordinates. to get to the positive square root I notice you had to find numbers that will equal to the positive square root. I learned recently in class that you can not square root a negative number as the base square root, it will give you a negative/ imaginary number?
That’s correct! It will give you an imaginary number. Check this out: th-cam.com/video/uK99ImJV-Pw/w-d-xo.html
when you've been struggling all this time and you finally remember fort bend tutoring from grade 10 factoring. wow
Welcome back Tina!🤗
I’m in 12th garde getting ready to go into collage pretty soon and I know that one day I will run into this kind of work problems and watching you so far Is the best Im starting to understand little by little but I know this will do me so good and I hope to be a professional math teacher haha I swear ! May god bless your heart Dude your awesome 😎
I appreciate the love Suzan! Good luck 2 you on your academic and professional journey! I'm rooting 4 you!😊
Great tutoring, you made my day. Thank you so much for everything you do : )
I'm happy 2 do it! Thanks so much 4 taking the time 2 watch this video!
I literally just had to pause the video from laughing at the intro LOL!
These videos help me out with sooo much in Algebra
Happy 2 Caleb! Thanks 4 your patronage!
This is another great vid that helped me understand a few things so much better . Thank you very much
+Chelsea Baxter Williams My pleasure Chelsea! Glad you found it useful! :-)
These videos are quality.
You r very helpful thank you so much!!
Please explain how you got the a and the b values?
Those horizontal stretches and shrinks are a bit tricky for sure, but your methodical approach provided some much needed clarity.
+Chris Manhoff Happy 2 help Chris!
Thank you. Does the graph of the rational function always have a horizontal asymptote y=0?
No, it can move or not have one at all depending on the problem. th-cam.com/play/PL3Ip1JQi4mmJHpAmAAhWnSACH7WWeF0SS.html
Thanks for your helpful video.
My pleasure BWYW!
One question for you, how do you know which x-values to use when you are setting up your little T-chart, or x and y chart? For instance, example #4, how did you know to use -4, -3, -2, -1, and 0? Is there a basic rule to knowing which values to use even for the different types of functions, not just the quadratic one?
+ISIAC JONES Yes, I usually find the central point like the vertex and use values to the left and right of it. However, it may vary depending on the type of function.
Oh ok, thanks for the clarification and the quick response. And after watching it over again I noticed you did mention that in the first example, must have missed that sorry!
Do you cover everything in your videos?
Do you cover everything up to pre-calculus and calculus?
+Jacob Stephens No, everything is not covered. Videos are still being made. In no way is this channel a resource that covers every math concept for any course. We have a few videos in comparison to other channels that have thousands of videos. Most likely they cover more concepts than we do. Check them out!
can you teach or show me how you did the factorization of the ½
+Owen Appiah Divide each term by 1/2 and you'll get the result in the parentheses.
was looking for exponential functions, but good video either way.
Thanks! I only have this video for solving exponential equations: th-cam.com/video/Y-PaFgFDLZk/w-d-xo.html
Hi Mr Witt. I was wondering how you decide to choose points for the table of values. Will the outcome be different and wrong if i choose others?
The values I choose are mostly arbitrary (random). Generally I pick numbers that are small and are easy to plug into the function with no drama. As long as the values you choose are in the domain of the function, the end result will be the same. Also, keep the shape of the parent function in mind to ensure the graph is completely fleshed out.
Great. thanks so much!
how do you find the a,b,c, and d values again? Is this a formula that you came up with or is this transformation formula?
It's a transformation formula. Watch this video or another to see how to find the a, b, c and d values.
Mr. Whitt, thank you for replying. I understand it now. I will still look at the other video you suggested also. Thank you, Sir!
I get how you got the c and d values now,but I can't wrap mind around how you got 1 for the a and b values when working with the quadratic function?
+Jacob Stephens When you have any variable without a visible number in front of it, the coefficient (number) is 1.
Professor Whitt, How did you derive the equation Y=a[b(x-c)]+d from the standard form of Ax^2+Bx+C. I still could not figure it out. What did you factor or do to obtain it?
Thank you sir~
+uiticus Use the process of completing the square to obtain vertex form. Keep the variable y isolated by working only on one side of the equation or simply solve for y again after completing the square. Here is a video going over completing the square: th-cam.com/video/1tIXSI-dxZQ/w-d-xo.html
u r the best!
Thanks 4 the support Neloy! 😁👨🏾🏫
@@FortBendTutoring just saod the truth, u explained it the best.
yahhuu...finally got it. thank u Mr.whitt :)
Way 2 go John!!!
@ 22.17 why did you change your c value from 2 to 4?
and why/ how is that allowed?
I factored ½ from the terms inside of the absolute value signs to determine the b value and get the correct c value.
YOU ARE THE BEST !!!!! THANKS, A BUNCH WAOUH, IT IS SO SIMPLE
I see the formula,but I don't understand how you are getting the values and why you changed the equation?
Mr Whittington
How do you come up with the ABCD value as 1,1,0, 2 in the first equation, not understanding? thanks
By the way your videos are great.
Once the equation is rewritten, I use the coefficients in front of the parentheses and variables according to the format shown on the 2nd page. For instance I could show that the first equation is equivalent to y = 1(1x - 0)² + 2. Therefore, the values of a = 1, b = 1, c = 0 and d = 2.
Hope that helps you Darlene!
Fort Bend Tutoring good morning Mr. Whitt! Thank you again for your much appreciated math instruction. “Question” so the variable letter “C” in the formula always is set to 0?
No, it depends on if there is a number already in the parentheses or not.
Fort Bend Tutoring Thank you Mr. Whitt!
Mr. Whit, this is an awesome tutorial, but I'm not clear on how you're choosing the X - Values in the chart to determine the Y - Values. Also, I am not clear about how to set up the second equation, specifically in problems 3 and 6. I am assuming that you are still responding to this particular tutorial, and if so, I would truly appreciate any additional help you may give ...
Check out one of our recommended channels list 4 an explanation that may help you better!
I got lost @ 22.24, where did the (C) 4 come from when the original value is 2
+Luis Diaz I factored out ½ from ½x + 2. Dividing each term by ½ leaves x + 4 within the parentheses. Check my accuracy by multiplying ½(x+4). Do you get the original ½x+2? Check out this video on Factoring the GCF: th-cam.com/video/JPYfGMeqzzk/w-d-xo.html
Got it, thanks
What I mean is do you cover all math problems?
+Jacob Stephens No.
I still don't understand how you figured out the y values. Algebra is so hard.
+deenatural rowe Plug the x-values into the original equation and simplify.
That’s genius
I don't understand this video at all,please help.
goat talk
is horizontal asymptote always 0?
I used to feel ignant but now I feels smawart
Noicce Logan!
do u feel Ingnant??😂😂😂😂yes😣
Lmao! 🤣 Hope it helped Esmerelda!
Why yes I do, that's why I need these videos! 🤣😂🤣😂 That intro touched read my mail. 🤣😂🤣😂🙉🧠👩🎓
Hi
Hello! 😀