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.

Category:

Education

Tags:

• trigonometric
• function
• graph
• sine
• cosine
• tangent
• sinx
• cosx
• tanx
• transformation
• translation
• period
• amplitude
• equilibrium
• max
• min
• shift
• asymptote

[TheOrangeizzy]

This is excellent, thank you so much :)

[davidtutorsmath]

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

[CindyRoxc]

God bless you. Helped alot :)

[davidtutorsmath]

@CindyRoxc Thanks. Glad I could help.

[IronMaiden6226]

i wouldn't have said sorry about forgetting the phase shift, it helped me to see where i've forgotten things like the shifts.

Thanks for the lesson anyways, this will help me for my exam ;P

[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]

@nueah You're welcome.

[nueah]

thanks

[davidtutorsmath]

@TwistedMentality089 Thanks for appreciating.

[TwistedMentality089]

thanks man i really appricated this , very well explained