Learning to graph a logarithm step by step by applying transformations

👉 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.

Organized Videos:
✅How to Graph Logarithmic Functions
✅How to Graph Logarithmic Functions with Vertical Shift
✅How to Graph Logarithmic Functions in Different Bases
✅How to Graph Logarithmic Functions | Learn About
✅How to Graph Natuarl Logarithmic Functions with Transformations
✅How to Graph Logarithmic Functions with Horizontal Shift
✅How to Graph Logarithmic Functions with Transformations

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#logarithmicfunctions #brianmclogan

[campbellcox]

I wish someone would make a compilation of every time you called a student out.

[wubzy]

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.

[Nanis-World]

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!

[robertcampomizzi]

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.

[menonijk]

Graph (1/2)^x at 1.50 of the video is shown incorrectly

[natalienguyen]

Makes lots of sense for me, thank you soo much, you won't know how much it means to me. <3 I will follow you from now on. Best luck!

[sammijo]

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[big_pappas]

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[sashahirst]

Man you have just made everything make sense for me thank you dearly.

[mahathis.rajkumar]

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!!

[albertg]

All I can say is beautifully explained!

[philamabaso]

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[vuwhmvv]

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[mikeb]

"Assimtope, " lol - couldn't resist. Great video, though. Thanks a bunch!

[davidmoreno]

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"

[oyudie]

Actually the domain is x > -5 because it won't ever touch -5 so saying
(-5, infinity) would mean it could touch it infinitely.

[genericyoutuber]

You are amazing dude. thaks for all the help

[valjohn]

Can I get the link for the session before this.

[JGYT-sofh]

What about when there is a number in front of log

[user_null]

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.