Determining the Equation of a Sine and Cosine Graph

Given a transformed graph of sine or cosine, determine a possible equation.

[jfejhcjwjfue]

Look at us, 10 years, we all here because we have a test tommorow lmao

[MoreClawsomeCo]

I was 6 years old when this video came out. Now I’m in college and thriving because of this video

[cristianbenitez]

The first two minutes of your video has cleansed the last two days of my frustration. Thank you sir!

[nikitasharma]

How to figure out whether it's sin or cos:
Know the parent graphs of sin and cos. Sin goes up from the origin, while cos starts above the origin and goes down. When reflected over the y-axis, sin goes down from the origin, while cos starts below the origin and goes up.
Determine which one is closer to your graph.

[Zaphod]

Thank you thank you thank you! you saved me! Everything makes perfect sense! Why does my teacher makes it so complicated?

[ryecustard]

My only issue is trying to figure out if it's sin or cos

[K.Arthur_RT]

halfway through the video and I understand it better than my math teacher taught, ong wish you were my teacher

[freaksprofunnychannel]

You know you the GOAT when you watchin this video 1 hour before your exams

[terryvideo]

THANK YOU!!! I've been trying to find a video that deals with phase shift

[scotteckert]

Many books use y =A sin (Bx + C) + D and the openstax Precalc uses y = A sin (Bx - C) + D. Your video switches the C and the D and students might get confused by the switch.
Earlier students likely learned the quadratic: y = a (x - h)^2 + k. I suggest that maybe students can more easily transition to the trig with y = A sin [B(x - h)] + D and that y = A sin (Bx - C) + D might correlate to more textbooks.

[Iamawesome]

My goodness, in class this was so confusing and I felt like an idiot for not getting it... now I realize that it's very easy... and now I still feel like an idiot for not getting it! :)

[scoutharris]

:))) theme music is great! Math channels on yt are a life saver

[fishyking]

your help was much appreciated! thanks! :)

[thomasslone]

just started algebra inequalities, should i even be trying to learn this(want to calculate pi in a java function and need to repesent a quarter of a circle in an equation)

[cheetos]

Sir you go way to fast pls explain yourself more on how you get the answers thanks you this helped even though I had to stop a lot of times to get how you would get a certain answers

[akhillullu]

I have a graph with me. Which have only phase of 180 degrees. But have a length of 1000mm. And a maximum height at 90 degree of 1mm. How can I find out the equation.??

[idontreallyknow]

You have nice handwriting good video :)

[DddyTuchM]

B finds us the period, how many radians/degrees a cycle (period) goes to?

[emmanuelapuamadi]

the last problem you solved, I don't understand how you got A which is the amplitude

[zachthorne]

Please explain how you got D a little more in depth.