Learning to graph a logarithm step by step by applying transformations
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- čas přidán 10. 06. 2015
- 👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a logarithmic function, it is usually useful to first graph the parent function (without transformations). This can be done by choosing 2-3 points from the function and plotting them on the x-y coordinate axis to see the nature of the parent function's graph.
After graphing the parent function, we then apply the given transformations to obtain the required graph. When a constant is added to x in the function, the graph of the parent function shifts to the left by the same units as the constant added to x. Similarly, when a constant is subtracted from x in the function, the graph of the parent function shifts to the right by the same units as the constant subtracted from x.
When a constant is added to the function, the graph of the parent function shifts upwards by the same units as the constant added to the function. Similarly, when a constant is subtracted from the function, the graph of the parent function shifts downwards by the same units as the constant subtracted from the function.
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Organized Videos:
✅How to Graph Logarithmic Functions
• How to Graph Logarithm...
✅How to Graph Logarithmic Functions with Vertical Shift
• How to Graph Logarithm...
✅How to Graph Logarithmic Functions in Different Bases
• How to Graph Logarithm...
✅How to Graph Logarithmic Functions | Learn About
• How to Graph Logarithm...
✅How to Graph Natuarl Logarithmic Functions with Transformations
• How to Graph Natural L...
✅How to Graph Logarithmic Functions with Horizontal Shift
• How to Graph Logarithm...
✅How to Graph Logarithmic Functions with Transformations
• How to Graph Logarithm...
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I wish someone would make a compilation of every time you called a student out.
Yesss
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Thank you so much you saved my ass!
You are a god tier teacher. You sincerely make me want to pursue a teaching career. I don’t know a you tuber as clean and concise as you are. Thanks so much for helping go get thru college. Keep up the great work.
Math can be my friend :) As I take a pre-calculus in my 30's in college after being out of school for God knows how long since I graduated high school and feel dumber than a box of rocks...
THANK YOU FOR MAKING THIS EFFORTLESSLY EASY, as my college professor sits back and assigns reading material that I cannot understand...Your videos have been helping me for months!
I think you're my new math teacher. It's been 25 years and I'm getting back into it... there's some stuff that's familiar, and there's some stuff that is vaguely familiar.
I liked your explanation. It was easy to follow along.
Graph (1/2)^x at 1.50 of the video is shown incorrectly
I wish my teacher could teach half as well as you. Your videos are a god-send thank you, thank you, thank you!!
Those who are watching this and are confused, the graph for (1/2)^X would be different, approaching negative infinity as x approaches negative infinity. He drew the graph wrong on the board. Check desmos!!
Thanks A LOT!!!! YOU ARE THE BEST, you saved me from failing my test!
Man you have just made everything make sense for me thank you dearly.
Makes lots of sense for me, thank you soo much, you won't know how much it means to me.
happy to have you, keep working hard
i need a sheldon compilation
Very well explained sir 🙏.....respect from India🇮🇳
You are saving my Finance degree one video at a time
You are amazing dude. thaks for all the help
wow an amazing teacher ty for helpinng me understand something that was twisting my mind recently thank you ! also i subbed
All I can say is beautifully explained!
Thank you!!
"Assimtope," lol - couldn't resist. Great video, though. Thanks a bunch!
different days, different pronunciations
literally just about to say that hahaaa
thank you papi good looks
Can I get the link for the session before this.
When you say "how sharp the curve is," do you mean it's horizontal stretch? If not then what term describes the transformation determined by "b"
be is your horizontal stretch compress. when b>0 it is a horizontal stretch, 0
Brian McLogan thank you so much!
you are very welcome David!
s
Actually the domain is x > -5 because it won't ever touch -5 so saying
(-5, infinity) would mean it could touch it infinitely.
Ero Sama no the way he did it is called interval form. He did it right
@@rafaelojeda ok
so what kind of transformation would changing the base have?
It would stretch the curve, making it more sharp or flat. But the point 1,0 will not change
love the video. nice head
Hey Brian do you have online tutoring sessions? Thanks
What about when there is a number in front of log
that is a vertical stretch compress or reflection if negative
Brian McLogan thanks
you are very welcome!
so the were not going to to do something with the base 2?
it does affect the graph but it is minimal and does not change the important characteristics of the function such as the intercepts or asymptotes. graph it in desmos with different bases and you will see
Brian McLogan thank you for your reply sir! I hope I can pass the test and not fail anymore! I somehow get the feeling of being scared when doing math because of the topics I don't understand. I was not the best but doing fine in math last year and I don't what happen to me this year. :((
I get it, keep working hard, and asking questions. There is nothing wrong with being confused, it takes time and practice.
I thought Asians are supposed to be good at math.
Mira Jones fax fax
Late, but at 1:48 it's incorrect. A fraction multiplied by itself yields a lesser result, so with increase of exponent the graph would fall, not rise.
It's a minor mistake, but it can subliminally plant false ideas into someone's head.
made a mistake at 1:57
1/2
explain please,not seeing it
If you graph y=1/2^x.
It's gonna be decaying
true, I do not believe I meant for that to actually graph as an example but yes you are correct
wanna take this time to thank you..
Your videos really help me in the pass and they are still helping me. I am glad you decide to share your knowledge on youtube.
Thanks again!
you are very very welcome! happy to be there for you
You'd be lying if you said 1:06 didn't make you cringe.
"See? Math can be your friend"
this man is woke
BRO TELL THIS STUDENT TO LEAVE YOUR CLASS SHE IS SO CLUELESS aLwAyS?