Using Transformations to Sketch the Graphs of Sinusoidal Functions

This lesson demonstrates how to use transformations to sketch the graphs of sinusoidal functions. This lesson was created for the MCR3U Functions course in the province of Ontario, Canada.

[jamesfreedom]

You are Better then my teacher!!! Holy Crap i learn more from this video then him pointing around at the board talking nonsense.

[Kniitte]

will a cosine graph always look like the beginning?

[dogman]

thank you vry much, have an exam tommorow, and this was the last thing i needed cleard up

[AlRichards]

I teach in the Keewatin-patricia DSB. That's the next school board west of Thunder Bay. So, I'm a long way from Toronto (approx 1500 km). I'm glad you are finding my videos helpful.

[rmicrods]

Where do you teach? here in Toronto, NONE of our 3M teachers (atleast in my area)do this. It's soo much more helpful compared to the class itself. Makes a whole lot more sense and the concept becomes 100x more clear.

Thank you soo much!

[Kniitte]

@AlRichards314 Great explanation, but the thing when i look into my pre-calculus book i noticed that there were graphs of all size ( with different wave length ) can you make a video of that? like pulling an equation out of a graph with different number in the x and y axis. i have a major test in 2 days :| sorry if my question is confusing <_<

[AlRichards]

The power to pause (or rewind) your teacher. priceless :)
Thanks for the comment. I appreciate hearing from people who find my videos help them make sense out of some math.

[darielle]

Better than what my teacher explained, and added bonus i can pause you without being rude.

[tinkerbellgddss]

this was super helpful!
my math teacher doesn't teach at all lol.
so thank you.

[ishabhargava]

thank you so much! this video was so helpful...you made all of this seem much simpler!

[robonitro]

dude you're a fucking legend this is so helpful make a textbook please lol

[julien]

Thank you so much! This was an incredible explanation on how to graph functions.

[CarlosSpicyWeiner]

Do you have a lesson like this for radian measure sinusoidal functions?

[AlRichards]

@Kniitte The basic cosine graph starts above (0, 0) at a maximum point. If the cosine function is translated (phase shifted) right or left then that maximum point won't necesarily be above the origin. If the cosine graph was translated to the right a 1/4 period then the cosine graph would look like it was a sine graph because they'd match up perfectly. Any cosine graph can be described as a sine graph and vice versa, depending on the transformations involved.

[AlRichards]

@Kniitte Sorry, but all the videos I upload are ones I've made for the classes I teach at our high school. I don't make any additional ones on request because they take lots of time to create. The PowerPoints usually take about an hour per page and then the video recording takes more time on top of that.

[dearlimey]

thank u thank u tahnk u tank u tanktnu tank tua nk

[melaniesmit]

Thank you for sharing your knowledge and making it so easy to understand. I was struggling and you have helped me sooo much. THANK YOU!

[yasmint]

Bruh im gunna ace my math exam tomorrow, thank you so much god bless