Graphing a reciprocal function with transformations
👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical stretch/compression, h is a shift to the left (if h is positive) or to the right (if h is negative) and k is a shift up (if k is positive) or down (if k is negative).
To graph a reciprocal function, we first sketch the graph of the parent function f(x) = 1/x and then apply the required transformations.
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Organized Videos:
✅ How to Graph Rational Functions
• How to Graph Rational ...
✅ Graph Reciprocal Functions | Learn About
• Graph Reciprocal Funct...
✅ How Graph the Reciprocal Function
• How Graph the Reciproc...
✅ Find the x and y-intercepts of a Rational Function
• Find the x and y-inter...
✅ How to Graph Rational Functions with Asymptotes
• How to Graph Rational ...
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Пікірлер: 141
Destin, that's exactly why you need to be looking up here.
@stevenjones8575
4 жыл бұрын
Alex Chen He was too busy admiring some laminar flow.
@dunamoose3446
3 жыл бұрын
Don't mind him, he's getting smarter every day.
@y0da._.
8 ай бұрын
Yeah destin
When u see this guy when looking for a tutorial u know ur grade is going to go up.
I love this man. He makes everything so easy and clear.
If only I paid this close attention to my teacher
I was struggling with reciprocal functions but everything is so clear and easy now. Thanks a lot!
This was exactly what i needed in a super straight forward explanation and example. Thank you!
7 years later and this guys saving me from failing the quarter, he is actually a good teacher unlike my real one haha
''no idea'' 7:01 lol
@brianmclogan
6 жыл бұрын
haha
@noblevenom2858
2 жыл бұрын
@@brianmclogan hi
we need teachers like you.thank you sir :D
you're SAVING. MY. LIFE. right now 💖
the best math teacher i will never have
Sir you are amazing..!!! You look like even PitBull.. Students must definitely enjoy in ur class
@brianmclogan
8 жыл бұрын
+Shubham Dhingra haha couple times I received that comment, i'll take it, happy to be able to help you out!
@ShubhamDhingra15
8 жыл бұрын
thank you very much sir #gracius i wish i could actually be a part of ur classroom... :) greetings!!
THANK YOU SO MUCH!!! THIS IS EXACTLY WHAT I NEEDED:)
Honestly, I'm so grateful for your videos, they are a lifesaver. Thank you!
Great explanation and easy to follow! Thank you!
@brianmclogan
9 жыл бұрын
JVB012 you are very welcome! happy to be able tohelp!
Yo idk who you are but thanks a lot. Every time when idk what’s going on in math class I watch your videos and it helps me get back on track.
Thank you very much! awesome video and you explain the information so clearly !
@brianmclogan
8 жыл бұрын
+jack ripper happy to help!
Thank you so much sir, i am doing my first mock this Saturday. Your videos helped me a lot, i thank you for everything and wish you the best
thank u for the help!!
This helped sooo much!! Thank youuu!!!
Thx for the explanation, rlly helps me a lot
Thanks and excellent way of teaching👌👌
This man is literally carrying my grades rn
OMFG YOU'RE THE BEST
I want a teacher like him the kids r so comfortable🤣🤣🤣🤣
If mr world wide was a math teacher.
what an unthankful class, I wish I had him as teacher!
Thanks Man 👌
I wish I had a teacher like you
Thanks for this easy tutorial. May Allah bless you
thank you!
I have a math test tomorrow. Clear and concise explanation. Thanks!
@brianmclogan
6 жыл бұрын
you are very welcome!
i know this is KIND OF late but how would you find the position of the middle of the curve? like the closest point on the curve that approaches the intersection of asymptotes
'no idea' lmaoo, i can only respect the honesty
YOUR THE BEST TEACHER ON EARTH
@brianmclogan
6 жыл бұрын
just happy to help
@vaccobonson4530
5 жыл бұрын
@@brianmclogan sir, how we will define effect of 'a'on this graph. Can we compare this with effect of 'h'
Have you done a video for this topic but with X&Y intercept i have a test on Tuesday but i don't know how to do the X &Y intercept
this is great thank you!
@brianmclogan
6 жыл бұрын
you are very welcome Olivia!
Savage- 7:00 "Destin, what value can I not put in for x? Okay, that's exactly why you need to be looking up here."
@brianmclogan
5 жыл бұрын
haha
Thank you for the video
@brianmclogan
9 жыл бұрын
bathong188 you are very welcome! happy to be able to help you out
I have a college test tomorrow on this. This helped me out a lot! Thank you so much!
@fairyfloss5386
4 жыл бұрын
I’m in yr 10 doing this agghh 😫
@ZAsym
4 жыл бұрын
@@fairyfloss5386 lul im in 13 doing this again
i swear if you say "asymptope" one more time...
@brianmclogan
6 жыл бұрын
asymptote 😉
@caramelmacchiato9193
4 жыл бұрын
Asymptope
@TheUltimateDestroyer
3 жыл бұрын
asymptope gang
love how the guy writes 'ko' in Japanese at 0:53 by mistake XD
Brilliant explanation
@brianmclogan
6 жыл бұрын
thank you!
Are you able to tell me, how you figured your a,h and k values. As far as I know f(x)=a{k(x+d)}+c. So how can you tell it in this case?
is range the A or K that cannot equal to 2?
Seriously thank u
@brianmclogan
6 жыл бұрын
you are very welcome!
thanks SIR u explained well
@brianmclogan
5 жыл бұрын
You are very welcome Fahad.
How do you explain the stretch of a=2? Like for example, translation of graph by 4 units in the +ve x direction, replace x with x-4. Theres also reflection, but I've not heard of stretching of graph by ×2.
@brianmclogan
5 жыл бұрын
hard to actually sketch and see the difference, best bet is to use desmos.com to actually graph different variations so you can see how each transformations affects the graph
Thank you
@brianmclogan
9 жыл бұрын
Nesti C you are very welcome!
does anyone know what the numerator is referring to? which is 2 in here
how would you find the x intercept and the y intercept then?
@brianmclogan
6 жыл бұрын
x-int y=0(or(f(x)) y-int x=0
GrEaT tHaNkS!!! :)
@brianmclogan
9 жыл бұрын
micheal robert you are very welcome!
is there another video i need to see to find what it's a and h.
last minute study session for pre calc and remembered i might have to use this, forgot how to beforehand and now it's crunch time
@brianmclogan
Жыл бұрын
I’m you got this
Why is the first one right 4 it isn’t in brackets?
I think the a is positive so the shape should be at the region 2 - 4 I mean that the shape should be the opposite side of the graph RIGHT?
Ohhh now I get it
He keeps saying asymptope when its asymptote lol
I got a studypug ad lol
@brianmclogan
5 жыл бұрын
yea,.......
@nirzareepandya2200
5 жыл бұрын
Ha, never paying for that
I envy the ppl who have him as their teacher 😗👌
@brianmclogan
5 жыл бұрын
😍
I wonder how is Dustin doing right now
Rip destin
Does the graph touch the asymptotes????
@brianmclogan
6 жыл бұрын
no
ur 100000000000x better then my math teacher. i have 20 mental breakdowns a day cuz of him.
It makes me unreasonably angry that he says "Asymptope"
How do you know that the range doesn’t include 2. Like why is there a restriction on y=2
@brianmclogan
5 жыл бұрын
horizontal asymptote
@ahmetdemir1733
5 жыл бұрын
Brian McLogan ohh thank you so much
Is it just me or he looks like randy orton
What the difference between the reciprocal functions and rational ?? ??
@brianmclogan
5 жыл бұрын
reciprocal has a linear variable in the denominator and not a variable in the numerator. The parent function of the reciprocal function is f(x)=1/x. It is also considered a rational function just a special case of one
@user-wm7xj9kg8o
5 жыл бұрын
thanks, you are my favorite teacher
@brianmclogan
5 жыл бұрын
happy to help!
🙌🙌🙌
@brianmclogan
6 жыл бұрын
: )
Hi sir. Can you write the function of this pls. Parent function: reciprocal Transformations: Shift the graph 2 units to the right, stretch it horizontally by a factor of 2, and shift it 2 units upward. Then, graph. Thanks!
🥰
Cmon Dustin
@brianmclogan
6 жыл бұрын
haha
Do i teach at a private school? Normally, private schools have the best teachers
@brianmclogan
6 жыл бұрын
I teach at a public school and there are some other great teachers here. Never went to private school so can't compare
Sorry what are asimtodes?
@brianmclogan
6 жыл бұрын
asymptotes are undefined values of a graph where the graph approaches
WHY CAN YOU NOT BE MY MATHS TEACHER 😭😭😭😭
@brianmclogan
6 жыл бұрын
I am just online
Dmitri are you sure you got that?
He looks like hitman
"that's exactly why you need to be looking up here" - the kind of stuff teachers tell students and then wonder why students continue not to learn or understand. Imagine thinking ostracism is an effective teaching tool.
@pichirisu
2 жыл бұрын
Good math lesson though
why cant all math teachers be like this
@brianmclogan
6 жыл бұрын
happy my videos help!!
I got a 0/38 on my math quiz
Better to explain limits and then graphs.
i still dont understand please help
@o.mar.3851
3 жыл бұрын
5:56 "WE ARE NOT DONE YET" just like my teacher
Demitry did you get that? Come on dude.
why couldnt he be my teacher for ffs
It sounds as if you're saying "asymtope"? Don't you mean "asymptote"?
damn it demitre I'm trying to learn here and you are distracting me
Hi are you single
@brianmclogan
5 жыл бұрын
married with two kids and a dog
@user-jj4zb5jd6r
5 жыл бұрын
Any chance I can be your dog
@Vayanovic
4 жыл бұрын
@@user-jj4zb5jd6r LMAO
Not helpful I didn't understand
1000x better than my math teacher.
@brianmclogan
9 жыл бұрын
Bestchessmind : ) Just trying to do the best I can for students like you