Transformations of Trigonometric Graphs: Amplitude, Period & Phase Shift

Learn about how function transformations occur with trigonometric functions in this video which focuses on both algebraic and graphical representations.

0:00 Introduction
0:24 Amplitude & Vertical Stretch
4:00 Midline & Vertical Shift
4:53 Period & Horizontal Stretch
11:12 Phase & Horizontal Shift
14:30 Important Idea about Phase and Period
17:54 All Transformations at Once
27:30 Recap

[lmafoutube]

Full explanation and in-depth video. Need more of these in math especially for colleges that go really hard on the pre-calc and maths

[matthewllarena]

WHERE HAVE YOU BEEN ALL THIS TIME.

I've scoured youtube, but never have I found such a professional and easy to learn from video. I loved the graph representations, they really helped! Much more organized than other videos on youtube. A+, Mister A!

[rachimbaskin]

So clearly explained - one step at a time, so I was with you all the way. Thank you.

[saadibrahim]

You made all trigonometric graph easier.Great explanation 👍😊😀

[drblack]

thanks man you made it easier to understand than my teacher

[SangheiliSpecOp]

This is one of the most clearly explained topics in a video that I have ever watched. Thank you so much!

[rooblejama]

I like the person who explain like that and then do a lot examples

[julierimer]

Absolutely wonderful, clear explanation.  So much better than the explanation in my book.  Thank you for your awesome coverage of the topic.

[jorgebejarano]

Felicitaciones, muy claro. Buenísimo. Debería hacer una versión en español. Gracias

[ShlliR]

thank you so much!! i'm taking a online class and i'm lost most of the time but your video has explain everything and made it easier.

[MrMarmite]

A great refresh, and really helped me to gain a deeper understanding, seriously appreciate the video, thanks man.

[lexinaut]

Excellent clarity, although this is a SHIFTY and GRAPHIC presentation of the TRICKYNOMETRY!  This presentation will help many people grasp vital details.  I'll WAVE goodbye now, or simply PHASE myself out.

[berhanuget]

A maximum level of explanation & easy to understand. Thank you very much.

[seyiojewale]

After such a long time, I understand trig f(x)s, thank you very much Mister A.

[cheskibar]

The best, most explanatory video i have ever seen regarding this topic. Thank you, i needed a refresh.
 
 

[edwinkhaled]

This really helped me understand shifts and all those things...Great work 

[asdfasdfartsdfg]

I was hoping that this would use radians instead (for the units), but it still helped. Thank you for creating this lesson; good videos on how to graph a sinusoidal are scarce here!

[danlee]

I teach preCalc and my students found this video helpful! :)

[heatherann]

this is the only video that makes Thank you so much :)

[TheMrJMarston]

super clear! I actually learn this easily, Thanks Mister A