Trig Graphs: Transformations (1 of 2)

Graph trig functions (sine, cosine, and tangent) with all of the transformations. In the first set of videos I explained how to the amplitude and period changes and what numbers in the equations do that. In this set of videos, we see how the line of equilibrium is affected by a vertical shift, and how the starting point is affected by a horizontal shift (phase). Shifts of graphs up and down are also called translations.

Part 1: See what a vertical translation, horizontal translation, and a reflection behaves in three separate examples.

Part 2: An example of how the tangent graph and its asymptotes are affected different transformations. An example that includes every kind of transformation possible, all in one problem, is shown. This is a beast of a problem. We also look ahead to what's coming next by deriving an equation from a graph.

[jjwkid]

Thanks! I slept in and missed math class today, so this helped me learn the lesson the other students learned in class today!

[TwistedMentality]

thanks man i really appricated this, very well explained

[fahem]

thanks, you really helped for my math quiz tomorrow.

[davidtutorsmath]

Careful planning. First off, I'm familiar with the basic sine and cosine curves. The are split into 4 parts, and that's why I split my period into 4 parts. At the sides of those 4 parts the graphs is either at a peak or a valley or right in the middle at equilibrium. So, I just think in my head where it starts and then continue through the patter from there. Keep practicing, you'll get faster too.

[davidtutorsmath]

@TheOrangeizzy Thanks for the compliment. I'm glad you found it helpful.

[davidtutorsmath]

@CindyRoxc Thanks. Glad I could help.

[davidtutorsmath]

@IronMaiden6226 Yes, I have to remember to always double check after I graph one of these. There are a lot of transformations and after I graph it, I make sure that I've taken care of all of them.

[davidtutorsmath]

@cfarlin1 You're welcome. I would be happy to oblige if she were up for it. But seriously, keep asking her questions and give her an honest chance. We're frustrated the most when we don't understand stuff, and I'm sure that's where you were before this "aha" moment.

[davidtutorsmath]

@10ronaldinhoomar Glad to help. And thank you.

[davidtutorsmath]

@TwistedMentality089 Thanks for appreciating.

[sirpixelot]

He used comic sans in his title. Tsk Tsk.