Graphing the absolute value function with transformations
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- Опубликовано: 13 окт 2024
- 👉 Learn about graphing absolute value equations. An absolute value equation is an equation having the absolute value sign and the value of the equation is always positive. The graph of the parent function of an absolute value equation is a v-shaped graph starting from the origin above the x-axis and rising both sides of the y-axis and is symmetrical to the y-axis.
To graph an absolute value equation, we first graph the parent function of the absolute value equation and we then apply the necessary transformation(s) to the graph of the parent function to obtain the required graph of the absolute value equation.
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Organized Videos:
✅Graph Absolute Value Functions
• Graph Absolute Value F...
✅How to Graph Absolute Value Functions | Learn About
• How to Graph Absolute ...
✅How to Graph Absolute Value Functions with a vertical or Horizontal Shift
• How to Graph Absolute ...
✅How to Graph Absolute Value Functions with a vertical AND Horizontal Shift
• How to Graph Absolute ...
✅How to Graph Absolute Value Functions with Stretch and Compression
• How to Graph Absolute ...
✅How to Graph Absolute Value Functions with multiple transformations
• How to Graph Absolute ...
✅How Graph Absolute value Functions with two inside transformations
• How Graph Absolute val...
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As a high school student taking online classes in the year 2020 I can say confidently that your videos help me so much
Same, except I am in middle school.
I'm in middle too
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happy to help you out, sorry for your troubles
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Thank goodness the student asked that question at 1:18 🙏🏾
what was the question?
@@ZaBaoi Why did the graph move to the left even thought the value of x is positive?
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Taking online courses and though they offer videos to explain, I have found myself viewing your many explanations and being able to understand it much better. I love the real in-class recording, keeping it real. By the way, I did see you in a tee shirt in one of the videos, as you said you always were a button shirt. Thank you for teaching us Professor McLogan.
Haha very few videos
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happy to help!
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So glad the student asked the question at 1.18. I had the same exact question. Thank you for your help.
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You are like the best math dude ever!! Figuring out the stretching part was the ONLY thing I was confused on and you cleared it up sooo much faster and better.
Also just to be clear, when I'm stretching the graph, do I do it the same way I'd do rise/run?
Agree
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mans explained in 3 minutes what my math teacher couldn't in 2 hours
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Another way to find the intercepts is to plug numbers for x(input) and get the y value(output) for the given equation. Therefore, getting a coordinate on the graph. For ex: if you plugged 1 for x into the given equation y = 2x your y value is 2, therefore, your coordinate is (1,2). Now plot it on your graph as one of your coordinate points.
wow my teacher couldn't teach me this in an hour and i just sat here for 3 minutes and learned it. good job
Thank you so much this way is way more simple that my math teacher taught me
my teacher goes so fast i couldn’t understand at all thank you
Happy to help
THIS WAS SO EASY TO UNDERSTAND THANK YOU
Taking a college math refresher course with a professor who doesn't speak English- you managed to explain what she couldn't in a class in 2 minutes.
yup, that's it. thanks yet again
I have a question if it we're y=|x|-4 when you shift would you just shift to the right 1 because it's an x and not a real number?
Your videos are pretty great, thanks. Do you have any videos showing how to graph |x-3| < |5-x|? I am at a loss. Thanks
no I do not but you can confirm your results here www.freemathvideos/onlineresources
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happy to help you out Leen
Brian McLogan 🙌😁
I have a question: will the vertex be different if the x was negative, like |-3x +6| ? I am confused and I am having a hard time understanding. Please help me!
I know your question is from 3 years ago, but if someone is scrolling through the comments and read your question.. I guess the answer is that if have
|bx + h| --> bx + h = 0 --> negative number
|-bx + h| --> -bx + h = 0 --> positive number
@@kiko7247 Thank you! The math growth has been insane as I've since moved on to Calc BC content.
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@@fatimah-hussain congratulations! And you're welcome
Thank you so much.
but mr .. don't we need to try some points on the graph other than using this slope method ?
Love from india.. Wonderful explanation
Amazingly simplified. I'm doing a math course online and the way it's explained is way too technical and extremely hard to make or a good understanding. Was stuck for about an hour till I seen this video and was done with the lesson soon after in about one minute. Super simple. Thank you!! 🙂👍
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Time to add this to my playlist
I live in Brunswick and I've heard the Jacksonville has a crappy school system, but this taught me more than my teacher today. Maybe I'll be the only one with my homework done, haha! Thanks for the explanation, it really helped. I'll be subscribing in case I need more help with algebra (they put me in the accelerated course when I had no clue what was happening in the last one... hopefully I'll survive this year).
Ahhh your not so far away. I am very happy at my school and think it is a great one as well. You will always here stuff though. Glad I could help you out!
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What level do you teach?
My teacher sucks. I wish you were my teacher. I understand when you go over it :)
my math teacher always teaches us these complex ways to graph, but this was so simple. Thanks!
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The Goat teacher
A lifesaver.
Thanks
Easiest and best way to explain.... now I am able to solve any absolute inequality equation.....thanks
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I have a question.
For the step where the positive sign becomes negative. Does it also apply for negative signs ?
Like... If the number was negative will still be negative or positive ?
correct it means opposite signs
how do you do this type of graphing if x has a number like 2x. for example: y= -2 |2x + 2| +4
bro thank you so much my algebra 2 teacher absolutely sucks at teaching
Exactly the refresher I needed for my exam! Thank you!
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explained in 2 minutes what I couldn't understand in an hour of reading my textbook... life saver
What do I do if it's telling me to identify the transformation
What do I do if it's telling me to identify the translation
This was great, short and right to the point!
you are very welcome!
thanks brian!
what if there is a coefficient on x? For example, y= | 1 - 3x/4 | -7
You’re a legend
but how would I solve f(x) = -|x-1|+2
All f(x) is is y so it’s literally the same thing
your the 🐐
Thank you so much
You are an absolute life saver, thank you!
happy to be able to help
I'm in math class for 90 minutes and I'm usually confused. How did a 2 minute video teach me something so quick and understanding? Thx for the help!
Claudia C if you look at his bio on his channel, he says he teaches from the perspective of the struggling math student. Why? Because he was one:)
Hope this helps:)
He made it look so easy
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Hello, I did not undestand the -2 part, how he knew that he had to go, one to the left and one to the right before down by 2 on the width? did he diveded the number -2 in two pieces?
-2 is a vertical stretch and reflect x-axis, follow the order of operations
The absolute value graph always has that v shape. It could be facing up or facing down like this one. The number at the start which in this case is -2 shows that for every 1 you go horizontally/sideways from the starting point you must go vertically down by -2. If there was a -5 at the start you would have to go horizontally/sideways one from your starting point and then down five on both sides. You always have to do the same thing on both sides with the absolute value graph. If there was a +2 at the start instead of a -2 then the graph would be opening upwards instead of downwards. Then you would be going across 1 on both sides and up 2
thank you Gouge!
On the contrary. Thank you sir
Thank you this helped so much
Thanks a lot for edifying me in simple way..
you are very welcome! happy to be able to help you out!
What does x do, like if you get 1/2x in the absolute value sign? Does it change the width?
that would be a horizontal stretch, pick points and graph them to check
How would you graph horizontal compression
same as vertical stretch on an absolute value function, slope of both lines is 2
Brian McLogan Then what exactly makes Horizontal compression and Vertical Compression different? Just one is used for a normal function, while the other is used for absolute value functions?
Isn’t the vertex form originally with (x-h) squared?
The video was awesome btw :)
vertex form for a quadratic yes, this is an absolute value
Thanks for the help
I subscribed
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i finally get it!! dang thank you
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If you have a b value does that count as the slope also?
really good video!
appreciate it
Wait so -3is the vertex? What about the x inference of and y intercept?
Do you teach at a private school?
public
Thx you so much Brain ur the best Your head is magical I think!!
HAHA you are very welcome Donna!
I was watching previous videos and seen you injured your leg what happened?
rugby injury, don't remember specifics but it was rugby, remember that