How to graph a parabola when given an equation in vertex form
👉 Learn how to graph quadratic equations in vertex form. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either face up or down (if x is squared in the equation) or face left or right (if y is squared).
To graph a quadratic equation, we need to know some essential parts of the graph including the vertex and the transformations. The vertex of a parabola is the turning point of the parabola. It is the point on the parabola at which the curve changes from increasing to decreasing or vice-versa. The transformation can be a vertical/horizontal shift, a stretch/compression or a refection.
Given a quadratic equation in the vertex form i.e. y = a(x - h)^2 + k, the vertex of the parabola formed by the equation is given by (h, k). Knowing the vertex of the graph and the parent graph, we can then apply the required transformation to obtain the required graph.
'h' in the vertex signifies the number of units left or right the the graph of the quadratic equation is shifted. 'k' in the vertex signifies the number of units up or down the the graph of the quadratic equation is shifted.
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Organized Videos:
✅How to graph a Quadratic in Vertex Form
• How to graph a Quadrat...
✅Identify the Vertex of a Quadratic
• Identify the Vertex of...
✅Complete the Square then Graph | Hard
• Complete the Square th...
✅Complete the Square then Graph | Easy
• Complete the Square th...
✅Graph a Quadratic in Vertex Form with Vertical Shift Only
• Graph a Quadratic in V...
✅Graph a Quadratic in Vertex Form with Stretch and Compression
• Graph a Quadratic in V...
✅Graph a Quadratic in Vertex Form with Horizontal Shift Only
• Graph a Quadratic in V...
✅Graph a Quadratic in Vertex Form | Learn about
• Graph a Quadratic in V...
✅Graph a Quadratic in Vertex Form with Horizontal and Vertical Shifts
• Graph a Quadratic in V...
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Пікірлер: 90
My teacher spent 1.5 hours on this amd I understood nothing.. thank you for uploading this!! Better than khan academy
@brianmclogan
5 жыл бұрын
you are very welcome!
@coen3773
4 жыл бұрын
@Tik toki wtf lol
@sincerelylauren7273
3 жыл бұрын
@GoToHelI Dan i hate the internet 😃👍
@damonliu3870
3 жыл бұрын
I love inter netty
@dragoe7441
3 жыл бұрын
@PCB BABA ????
i learned more from you than nearly 2 hours of algebra, thank you, i've watched many of your videos
@JESUSLOVESYOU033
11 ай бұрын
Jesus Christ loves us unconditionally+eternally!He cares for us so much that He sacrificed Himself on the cross for our sins!God is so good!💗✝️
I dont understand where he got over 2 up 4 towards the end ? That is the only thing I cam confused about, other than that it helped a lot!
"For your homework" Me having PTSD from college: I forgot to even put that in my homework list!
I have not understood this all semester. Tomorrow is my exam. Thank you for this
Thank heaven for you. All night I’ve been up, trying to figure out one simple problem. Within two second of opening your video, you’ve helped me. Thank you.
I was struggling with with a course for two hours not getting anything done just to watch your video for less than a minute to understand why. Thank you.
Just wanna say that recording real lessons like this is absolute genius! Thank you for all the help you’ve given me and others. I just moved into a higher math class and was worried I wouldn’t be able to catch up, but after watching this, I have no doubts that I will do great!
You said go over 1, up 1. Then over 2, up 4. But my teacher said go over 1, up 1. Then over 1, up 3. Then over 1, up 5. Basically going by odd numbers. I don’t know which one to choose
@ultdisc
Жыл бұрын
both will methods will land the dot in the same place
OMG! I am sitting here with the biggest headache, and after watching your video I was able to graph the other 3 points!!! God BLESS YOU!!!! I understood my teacher when she taught it, but I forget how to solve when already in vertex form after I left her class!!!
Simplest video I have ever seen explaining this thank you
Thanks in just short time, you made it easy to digest!
I have a test in an hour and this is so helpful!!❤️
Thx you good sir you legit helped never stop pls
Thank you so much !!!!
My teacher taught this for a week but i only understood it here. Thank you!
Thanks man, needed a refresher for this
lol haha padawan camichan
Where did you get that "over 1 , up 1 " then "over 2 , up 4". ?
@Pga_youngboy
2 жыл бұрын
That is the rule for graphing a parabola with no a value (no stretch/compression)
Thank you!!!!!!!!!!!!!
I really favor how to the point you are, you dont waste time by explaining stuff, you let the visuals do all the dirty work
great stuff, thank you!
In this problem, where does the 2 in the Y axes come from? K?
Hey man, thank you for the great lessons re learning math thru college this rlly helps me understand
@brianmclogan
Жыл бұрын
You are very welcome!!
@en2-joserivera896
Жыл бұрын
Hi.
@br3xin997
Жыл бұрын
@@brianmclogan Passed my exam thanks to u
Youre the man
@brianmclogan
5 жыл бұрын
Just happy to be able to help
doing online because of covid. your videos are so helpful
@brianmclogan
4 жыл бұрын
Glad you like them!
i keep thinking in my head whenever someone coughs " oh they might have corona" then realize this was made in 2015
@bernicelin8045
3 жыл бұрын
Bruh
@mi8843
Жыл бұрын
Sameee😭😭till now
Thank you so much👍🤝😊
You are the best!
What if there is compression?
so if the k is negative do we switch to positive?
you're better than my teacher.. when he teach us, he speaks like a machine gun, how could we even understand what he's talking about .-. thank you very much for this video, you helped a lot of students
Thank you
I get frustrated trying to graph the vertex because I'm on savvas so graph what the vertex is and I get it wrong every time even though it's the exact same answer as mine
Will this graph not touch y axis (0,11) ?
@AikosValley
4 жыл бұрын
I agree
Gracias
I learned so much under 5 mins
thank you for this, we have a quiz over this tomorrow and I was absent the day our teacher went over this in class. This helps very much!
Thanks man!
@brianmclogan
2 жыл бұрын
You are very welcome!!
i would have died without this
A way my teacher describes how to do the equation: the reason why you want to write down the “opposite” is because you want the (x-h) to equal 0..... so say (x-5)=0 you add 5 to both sides and you are left with x=5 thats an explanation of why you get the opposite. Then you cross that out and you are left with y= (in his case) 2.
but what if there was a value for a??!!
thank you for this, i was screwed by with you I'm ok now. Thank you
Wish you were my teacher
Been out of high school for a few years. Trying to convince the calculus professor that I'll be able to learn. He wants to see if I know the prerequisites and funny enough, if you don't use it, you lose it. This is a fantastic crash course.
What if there is a value for a
What if a is 1/4
But what happens if "a" is a number?
Why does it go up 4 tho?
This video helped me to finish one of my lessons, thank you Teacher!
First 10seconds of videos saved me a whole day of horror. I had the worst day trying to figure out where I was going wrong. Smh
but like what if you do have an a value, what then :/
what if you have a negative in the front 😟😟
@AlexanderAlvarezMusic
4 ай бұрын
I thinkt that means that the parabola is going down
Can you be my tuitor?
Is it really over 1 up 1 up, over 2 up 4 because my teacher did a whole equation think that was hard to understand to get the points Edit: I hope you’re right because I’m in 9th grade algebra in 8th grade and don’t want to redo it in high school.
math is so hard no matter what anyone try’s to teach me i just can’t do it and then my mom gets sooooo mad over math grades idk what to do
im very confused
We’ve been doing this for like a week and i have never seen that formula wtf
At 3:05 - 3:07 .... I AM DEAD ☠️ 😂
People from 2020?
@mi8843
Жыл бұрын
2023
@user-bd9me3nw6m
2 ай бұрын
@@mi8843 2024
what’s a vertex? sorry my math teacher doesn’t actually explain things he just gives us problems
Just straight up wrong
he seems like kind of a mediocre teacher.
@brianmclogan
6 жыл бұрын
pretty much, just try to do my best and improve every day and year
@euphie10
5 жыл бұрын
I like the way he teaches. Makes sense to me for the most part.
@dennissanchez5171
5 жыл бұрын
what a real douchebag
@brandonnorsworthy
5 жыл бұрын
then leave