Learning to Graph the Sine Function with Transformations

👉 Learn how to graph a sine function. To graph a sine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the vertical shift from the parent function) and the x-scale (the distance between the turns and the x-intercepts). After we have obtained these features, we plot the points on the graph and graph accordingly.

Organized Videos:
✅ How to Graph Trigonometric Functions
✅ How to Graph Tangent | Learn About
✅ How to Graph Secant | Learn About
✅ How to Graph Sine and Cosine | Learn About
✅ How to Graph Trigonometric Functions | Learn About
✅ How to Graph The Sine Function
✅ How to Graph The Cosine Function
✅ How to Graph The Tangent Function
✅ How to Graph The Cotangent Function
✅ How to Graph Cosecant Function
✅ How to Graph The Secant Function

Connect with me:

#trig #graphing #brianmclogan

[claralobsiger]

It’s sad how an 11 minute video on 2x speed has made me understand this entire lesson whereas my teacher’s almost two weeks of ‘teaching’ this only confused me. Thank you so much 😭

[euowol]

I'm going to need to write you a "Thank You" letter when I graduate. You're the sole reason I am making through my math courses.

Thank you very very much.

[esdths]

Here on Brian's videos because some teachers are absolutely incompetent. Thank God for this man!

[joshbrown]

These math videos are awesome because they always fill in the important blanks that my professor never manages to mention.

[dylanleisler]

Thank you for illustrating the influence a period change has on the c. It is an issue I've had multiple times.

[mohinibarrett]

Very helpful video but please check the last step in drawing the graph. You should have put zero on the pi/2

[cjuneholl]

Shouldn't this phase shift have been in the other direction? When I plug in the pi/2 and 3*(Pi/2) for x I get 0 and 2 respectively.

[mibuuphuong]

I am truly appreciate you and your teaching method. Your videos are awesome and very easy to understand. Thank you so so so much.

[keshaagrawal]

you explained really well but the graph should start from the origin at pi/2.

[mohineesharma]

I know this video was posted a long time ago but since this is a big platform and many could be getting the wrong information I was to say I believe you grpahed this wrong @BrianMcLogan this function should start at (pi/2, 0) because sine starts at the sinusoidal axis which is y = 0 for this function. The points should be (/pi/2, -2) (pi/2, 0) (3pi/2, 2) (5pi/2, 0) (7pi/2, -2) to graph this.

[mehershrishtinigam]

the graph's initial period should start at π/2 right? Even in desmos it starts at π/2?

[ijose]

The final graph should start from pi/2 going up, I think the phone distract u,

[JeramiaValentine]

"actually you know what you're in luck" ... I love how he makes you feel as if you've won something ;p

[grantlieberman]

To find the phase shift couldn’t you also multiply pi/4 by 2 because that’s how much period increased by and if you simplify that you still get pi/2

[mayrabreault]

The graph is shifted pi/2 to the right

[Keepcalmliveon]

I got anxiety when he told one of the students to put their phone down and I haven't been in high school in 6 years lol

[huyyivong]

Shouldn't the parent function only have 1 as its amplitude since the 2 amp should be the stretch only for this one right because its 2sin and not just sin? Love your videos. They are a very good review for me. Thank you.

[hectorordonez]

Good class teacher and Thank you!!!! But Whole ok
But the final grafic seems to me Wrong. Supouse to star Sin grafic in (0, Pi/2)
By the grafic you are assuming ×=Pi/2 them Y=2 ( Wrong)
If: x=Pi/2 Y= 0 ( Correct )

[hopahop]

Professor do you have a video that explains the adding and the subtracting of the Pi fractions ? Because thats what’s confusing me through the whole video.

[depressedoptimist]

I appreciate it. You're doing good work.