Graphing an exponential function using transformations
Рет қаралды 107,698
11 жыл бұрын👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table of values of the function. This is done by choosing a range of values of x and then plug the x-values into the function to get the y-values. We then graph the obtained points.
When a constant is added/subtracted to the exponential function, the function is said to be transformed vertically. Addition of a constant to the function moves the graph of the exponential function upwards while subtraction of a constant to the function moves the graph of the exponential function downwards.
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Organized Videos:
✅How to Graph Exponential Functions
• How to Graph Exponenti...
✅How to Graph Exponential Functions with e
• How to Graph Exponenti...
✅How to Graph Exponential Functions | Learn About
• How to Graph Exponenti...
✅How to Graph Exponential Functions with Stretch and Compression
• How to Graph Exponenti...
✅How to Graph Exponential Functions with Vertical Shift
• How to Graph Exponenti...
✅How to Graph Exponential Functions with Horizontal Shift
• How to Graph Exponenti...
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@mejidballa270 6 жыл бұрын
your a life saver my teacher is trash
@brianmclogan 6 жыл бұрын
sorry to hear but happy to help
@jaredagent203 5 жыл бұрын
same. dude
@zacharysmith2609 5 жыл бұрын
You’re*
@zaidagha1719 4 жыл бұрын
@@zacharysmith2609 my teacher cant even hear me she is like deaf LOL
@tonybeneventi2002 8 жыл бұрын
Agreed, once you get lost in class it's hard to pick back up on the subject . this helped a lot!
@brianmclogan 8 жыл бұрын
+Ton Ben agree, happy to help
@dumbledonut 5 жыл бұрын
Thank you sir! I'd happily take your classes instead of my college prof.
@goldencookie5456 3 жыл бұрын
UserGoneIncognito 456 isn’t this high school stuff
@NorthBankChannel 3 жыл бұрын
Facts my college prof sucks so much
@SnarkusTotallus 8 жыл бұрын
Thank you SO much for your videos! Our teacher never talked about how transformations effect exponential functions, so I was really at a lost for figuring out things like the asymptote. Thank you thank you thank you!!!
@brianmclogan 8 жыл бұрын
+SnarkusTotallus you are very welcome! happy to be able to assist you with your search!
@ValMythical Жыл бұрын
@amirahiftoni6138 5 жыл бұрын
You’re a hero man👏🏽👏🏽👏🏽👏🏽👏🏽
@flyeraerospace8353 8 жыл бұрын
You are a very good educator; thank you so much for the video :-) I am taking precalculus and this helped me out.
@brianmclogan 8 жыл бұрын
+Behnaz Neuforge awesome! I am teaching Pre-calc this year, so will continue to upload videos, hope they can help you out!
@kenial1921 6 жыл бұрын
Thank you, I now get the material, even when posted years back
@brianmclogan 6 жыл бұрын
awesome! happy to be able to help you out!
@medicisounds1384 Жыл бұрын
threw me off at first but now I get it. thank you
@nikleduc1158 3 жыл бұрын
my teacher is the only teacher this year who is doing test for math and last year I learned jack all for gr 11 math cuss covid, so I this channel is a clutch save for me along with the organic chemistry tutor and khan academy
@ashleyrene4764 8 жыл бұрын
I love that you have already made a video for just about every question I've had in my college pre-calc class. Thank You! These videos are always helpful and not to mention, you're a hot teacher
@brianmclogan 8 жыл бұрын
that is why I make so many videos, to help you out with all sorts of questions. Glad I can help you out! I teach in Jacksonville, Florida
@ltjedi492 6 жыл бұрын
why would you say he's hot? that's weird
@oogerbooger6360 5 жыл бұрын
I'm in 10th grade why am I learning this...
@bubbleboyxdshipman3816 5 жыл бұрын
I’m in 9th grade why is this needed
@vlogwithbrownie 5 жыл бұрын
Brian McLogan no way!! I live near Jacksonville Florida! That’s insane! Your videos have helped me so much and it’s crazy to think ur that close lol 😂
@mohammedsoomro6230 5 жыл бұрын
And a genius was born!
@stormcrafterfx4730 9 жыл бұрын
Your videos are great see I was born in America though my education was persuad in Canada I'm in highschool right now doing functions grade 11 I can see the american perspective of learning thx to you
@brianmclogan 9 жыл бұрын
Storm crafterfx you are very welcome! happy to be able to assist you with your math
@selenabaozi 6 жыл бұрын
I'm just watching this for fun but I'm glad you make these videos :D I have somewhere to reference if i need help in the future
@brianmclogan 6 жыл бұрын
here for you!
@vestafarhan7580 4 жыл бұрын
Thanks you’re best math teacher
@nikleduc1158 3 жыл бұрын
there should be an MCU like group with all the math and science youtubers like you, the organic chemistry tutor and, khan academy
@pagalinghomer6151 6 жыл бұрын
Watching from Philippines i hope it would help me a lot.
@renewd 5 жыл бұрын
Good luck with that trip up the ladder! 😋
@renewd 5 жыл бұрын
When you talked about walking 3 miles down the x-axis in the negative direction and then climbing up a ladder to place a point, I wondered how high that point would actually be. It seems a supercomputer might be necessary to calculate the distance. According to my calculations, using standard graph paper (4 squares per inch), the y value would be 3 to the 760,320th power + 2 units. I have no idea how many miles that works out to. The calculator I used would only do 3 to the 76th power (obviously a minute fraction of the actual distance.) It still came out to 7.2 x 10 to 30th power miles. This is equivalent to making 9.8 x 10 to 27th round trips to the sun.
@genevievefrederiksen8185 4 жыл бұрын
Wouldn't the asymptote be y=2?
@menziamahle3549 4 жыл бұрын
U are the man
@jaredagent203 5 жыл бұрын
what would the rule of the graph be in function notation?
@pamn8678 4 жыл бұрын
I'M BRIAN MC'LOVIN IT!
@laura_jones 4 жыл бұрын
i just died
@habbtyazzahabbtyazza5583 6 жыл бұрын
thank u
@brianmclogan 6 жыл бұрын
you are very welcome!
@danielsarkis3846 10 жыл бұрын
Good vid
@brianmclogan 10 жыл бұрын
thanks : )
@johnfei434 6 жыл бұрын
Correct me if I'm wrong but in any given exponiential function there will always be no restriction on the domain. The range depends on the value that is outside of the function in this case is 2.
@brianmclogan 6 жыл бұрын
that is correct! except if there is a vertical reflection that will affect the range as well, this problem has a reflection about the y axis though which does not affect the domain or the range
@sarahdeclerck315 5 жыл бұрын
Dude where do you teach, cause I need to transfer?
@7FigSaykho 6 жыл бұрын
If you were my teacher, I would pass Algebra II with ease
@brianmclogan 6 жыл бұрын
I am just online, keep working hard
@josevelalandaverry5359 7 жыл бұрын
how did you get that reflection over vertical axis? made me so confused
@brianmclogan 7 жыл бұрын
when you have a function being multiplied by a negative "inside" the function, it will reflect the y-axis
@vlogwithbrownie 5 жыл бұрын
Why did you put the dotted line there on the graph? Do you just always put it in the middle of the 2 points? It was between 1 and 3 but I don’t know why?
@morganjohnstone8941 5 жыл бұрын
the dotted line is where the asymptote is
@faisalghori8753 4 жыл бұрын
Why is the range (2 to the infinity)?
@montgomery3912 6 жыл бұрын
How to get the domain and range of this equation?
@brianmclogan 6 жыл бұрын
domain is all real numbers always for an exponential, the range is from the asymptote up unless there is a vertical reflection
@RaffaelloLorenzusSayde 3 жыл бұрын
But, isn't -kx a horizontal reflection?
@ayleenc9638 4 жыл бұрын
Why am I learning this in MS 😭
@lildee011 Жыл бұрын
7:08 Caught🤣
@girumwoldegebrial5985 2 жыл бұрын
What if the equation is y=3-3^x
@marceliusmartirosianas6104 2 жыл бұрын
Y= 3^-X+2=[[[[ 3^o/3^X]= o]=[ 3^O/3^X=1 ] =[ 3^O= 3^X ]=[[ X= o] STATUOME :[3^O=3^O]
@sarah821 6 жыл бұрын
i don't really get how can we determine the asymptote of an exponential function
@brianmclogan 6 жыл бұрын
the parent graph has a horizontal asymptote at y=0 so just apply any vertical transformations
@sarah821 6 жыл бұрын
thankyou loads! this really helped me
@brianmclogan 6 жыл бұрын
😀👍
@habbtyazzahabbtyazza5583 6 жыл бұрын
can u enter the question for exercise
@brianmclogan 6 жыл бұрын
not sure what you are asking?
@charlesamofordjuoh9940 9 жыл бұрын
shouldn't your range be y >2
@brianmclogan 9 жыл бұрын
Charles Amofordjuoh yes you can write it that way not sure why I wrote it that way it was a while back when I made that video
Brian McLogan
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Brian McLogan
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