Lesson 8.3 - Graphing Transformations of Logarithmic Functions

The following video goes over how to graph logarithmic functions by identifying & applying transformations.

[Anlaced]

Thank you so much! I've been trying to find a good explanation for this and I finally understand what to do now!

[SmileyFace]

What a god. Explained it better than all the other videos on the platform. 2022

[lovemath]

Loved this method of adding/subtracting the transformation from the T- table of the parent function. I used to isolate the x in every function and then do the table of values. Thank You!!!

[madiw]

THANK YOU! I completely understand now!! Please keep making videos. you explain things perfectly.

[DaciYT]

dude, you are awesome! Saved my freaking life

[lydiar-r]

my brain's a bit fuzzy from lack of recent math practice, and it literally took me 3 days to properly graph a logarithmic function. i just kept trying to make it harder than it is! typical. thanks for the video. got me right back on track!

[bensonzhang]

you didnt do any examples of stretches and compressions, where a is greater/less than 1

[marceloandres]

Very helpful, using this method you can actually graph any function (as long as you know the parent function)

[jahedahmed]

Thanks, you explanation is better than my precal

[mahdimehawesh]

I’d like to thank you very much for this video, helped a lot.

[sailbyzantium]

This is excellent! Very clarifying as I am working through a pre-calc. text on this. In my text, what I think I'm seeing in some problems is what would be the k value moved to the front of the equation, so f(x) = - log3 (x - 1) + 2 could be rewritten as f(x) = -2 + - log3 (x - 1). Is that correct? Just consider any addition or subtraction before the log as a "k" value, while any multiplication or division (as fractions) represents an "a" value--like the neg. 1 here? Thanks again!

[Yuli-xklr]

Wow!! Thanks I have better understanding now. I'm just confused what to do about vertical and horizontal stretches... Do you multiply them to them to the x and y functions?

[luisc]

I just wanted to say thank you. This really helped me understand transformations!

[bambie]

Thank you so much!!! this helped tremendously <3

[yoknowTHESENSATION]

great job, this helped me alot ! Thanks :)

[ameerali]

What's the vertical asymptote isn't it x>1 if so this graph is wrong ? Great video though thanks

[petern.]

how do you know where your vertical asymtote is?