How to Graph with Transformations (Precalculus - College Algebra 15)

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How to use Transformations to quickly sketch functions.

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I watched your Calculus video's over the summer and I got 105%, 103%, 99%, and 90% on my exams over the quarter in Calculus 1. I can't explain how helpful your videoes have been to me in learning math. Thank you so much, I can't wait until I can become a patron!!!

ethanhorner

I am already an engineer, thank you, Superman, just came here to give it a like!

omerbc

How in the world am I able to watch these videos for free?!! This is making me love Math! God bless you and your family, Professor Leonard.

rosepierce

I feel college algebra is more appropriate content, compared to differential equations. Students in college algebra are just at the beginning of their actual college math journey and they need the most help, as compared to someone in a differential equations course(they at least took Calculus 2). These are great content and I am sure they will help people for years to come, thank you for all that you do.

bigshaqsmathematicalinstit

Big hand for Prof Leonard....
Our entire class watches
Especially you did justice with ODEs

anasfarid

This video is explained insanely well. The same thing in my textbook looks so complicated. This playlist is helping me so much. Thank you for amazing work good Sir!

kjpillay

Please do not delete these videos. This is one of the most in-depth and helpful mathematics lessons on the internet, even better than attending college, due to the fact it's learn at your own pace. But i've got one question, do you have or can you find a way for users to be able to download all your content in case of YouTube problems, seeing as videos can go missing after a while in some instances?

ssopkc_venom

Professor Leonard, thank you for a clear explanation on How to Graph with Transformations. I realized that your method is not in any textbook, however it is really helpful in all levels of mathematics..

georgesadler

...Good day Professor Leonard, First of all let me say that your presentations are all crystal clear. One comment to this presentation: Given at time 26:40 g(x)= 2SQRT(1-x) + 3, one could also first determine the domain of g(x) by setting 1 - x >/= 0 --> x </= 1; now you know which direction the graph is going to. Thank you for all your efforts, Jan-W

jan-willemreens

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satioOeinas

One of the best teacher ever I hope he return to uploading videos after he finish building his home

tarekazakir

Thanks Professor Leonard for helping me get a 98 in the Differential Equations Course in University!

sanchitkumar

Finished your algebra, Calc 1, Calc 2, statistics and halfway done with you Calc 3 course. DiffEq is next, followed by Linear Algebra (which should be posted by the time I’m done with DiffEq). I use the lower level courses for training my guys in the lab. This precalc course should be a good substitute for trig.

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