Graphing y = -2 cos(2x)

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I can now graph this types of problems confidently!
Thanks a lot!

sharonkadode
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What you explained in 4:59 my professor has spent 2 weeks explaining and I finally understand now thanks to you.

vonh
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The way you explain graphing is crystal clear! THANK YOU 

angelyherrera
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Patrick you are a perfect teacher for graph  thank you for your help

ajaysarangam
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Cramming for my Advanced functions exam tomorrow! Your video's help so much!!

alysadunkley
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I almost forgot the lesson I've learned last Thursday, so this video plus another related vid. was seriously helpful! ^^

sanahita
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Both u and Salman Khan from the Academy are the friends I never had! :( in other words both u are awesome!! :D

Dii
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@bebekou14 it's divided into 4 intervals - 1/4 pi or pi/4, 1/2 pi or 2/4 pi or simply pi on 2, 3/4 pi or 3 pi on 4 and finally pi. in other words 1 quarter, 2 quarters (or 1 half), 3 quarters and 1 whole.... hope you understand

MrMcVilla
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I alway forget cosine graphing. this video really helped me.thank you PatricJMT

fredy
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this video really reinforced what i learned a while ago, thak you Mr. patricJMT

madra
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This was so helpful. I finally understand. Thank you. ❤️❤️

dookledee
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learned more in 5 minutes then in a week of class! Thanks!

martinzimmer
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Thank you very much for the video you made. It is very much appreciated 🙏 ☺️

pewpewlasergun
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Thank you so much, your videos are really helping me understand circular trig!

amanda
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I have to tell you Thank u, thanks for the help that not even my teacher was able to do it.  I am speechless .

SY-hnii
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How do you find the x axis values? I'm really struggling with that.. or is that the parent functions axis?

zohaawan
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that means that one cycle of the function lasts 4pie. That means from start to end of one cycle it is 720 degrees

ScandinavianFish
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Awesome video. I hope in the future you have example that range in difficulty. Normally, I have a hard time applying this into functions which are more difficulty. Otherwise awesome! Love your vids

medocekic
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so if the a value was 2 instead of -2, the cosine function would start at the point (0, 2) right? so is it right to assume that whenever you are asked to draw a cosine graph with no shift, the starting point has the same y value as the a value is ? (sry if i made it sound confusing..)

misty
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can you explain how you started the graph at pie over 4 please

ttjay