Writing a Sinusoidal Equation Given Max and Min (Example 2)

Learn how to write the sinusoidal equation given a max and min for a graph in this video math tutorial by Mario's Math Tutoring. We go through an example given the points (-1,2) and (1,-4) and go through the steps to write both a cosine and sine equation to model the graph. We discuss formulas as well as a more intuitive way to approach this problem. We also discuss the relationship between the sine and cosine graph and how they are horizontal shifts of one another.

Related Videos to Help You Succeed!:

Take Your Learning to the Next Level with Me!:

Subscribe to the Channel

Get my Learn Algebra 2 Video Course (Preview 13 free video lessons & learn more)

Learn Algebra 1 Video Course

Learn Geometry Video Course

Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at

* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)

[MathAngel]

Your lighting, sound, and writing board is amazing! Will you make a video tutorial on your studio setup? Thanks a million! :)

[tnp]

Also, it is important to mention that we can write the equation in term of sine as well. In my opinion, for your example, using sine is a bit easier since you don’t have to worry about any horizontal shift, i.e., y = -3sin((pi/2)x) - 1.

[satviksaar]

Sir please make a video on rational numbers and their operations

[DRMath]

Very useful in math and physics to solve numerical problems!
Thanks for sharing
Happy Teaching ✌️

[caseyfoster]

My teacher had the problem "Max:(6am, 90) Min:(2am, 10) do you have any advice on determining if the graph is a sine or a cosine function? Thanks.

[shecinahapelado]

Your videos are so helpful my final exam in math algebra and geotmetry are so easy thanks . :)

[danieliosif]

Hi! Please help me with this. I need a sinusoidal function for defining daily temperatures over one year. I need a minimum at day 91.25 and maximum at day 273.75. The problem I encounter is that for starting with value 0 at day 1 and ending also with 0 at day 365 I need to "move" the graph left with 10 days, meaning that minimum and maximum will be with 10 days out of phase with the days I need. What should I do? Thank you!

[lifewithsara]

Sir can you please make a video on rational numbers and their operations please sir please please

[shecinahapelado]

last time i tried i can't but now i can thank you sir it's very helpful

[ocgcg]

Making everything so simple 😎😎👍🏼 thanks.