Graphing Parabolas w/ vertex & intercepts

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[@profrobbob]

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[@ghostfrom1950]

It's called falsetto LOL. I remember watching this video about a year ago - cracking up! and then showing someone else. We both laughed and said "wtf" (in a good way that is). Back at it again a year later roughly - studying for precalc exam tomorrow!

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BAM!!!...and congrats on that A! Thank you Elizabeth Mulvey for those very kind words. I never dreamed when I started this channel that it would grow like it has...now it has become our dream (my wife and I) to promote and groW it to it's full potential...someday we hope to see an "M" next to that subscriber count! So please keep sharing thru social media and your friends to help us fulfill that dream someday:D ps...sorry to say, no chemistry in my future though:(

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[@profrobbob]

Graphing Parabolas w/ Vertex & Intercepts is now Closed Captioned

[@dodiLellis]

THANK YOU!!!

[@profrobbob]

[@profrobbob]

The vertex form or standard form...whatever your book calls it is f(x)=a(x-h)^2+k. The minus is already there in front of the h, so you have to change the sign you see as you write h...the x of the vertex. If you have studied transformations of functions the horizontal shift is the opposite of what you would expect:) That x-2 inside the square function (exponent of 2) indicates a horizontal shift of 2 to the right.

[@profrobbob]

A zero is an x-intercept, so you let y=0 and set your equation equal to zero if it is not already. Then solve the quadratic equation by factoring or the quadratic formula. You can also complete the square.

[@profrobbob]

You are very welcome. Thank you for watching and the great feedback. I am excited I can help.

[@profrobbob]

That's AWESOME! Thank you for sharing your experience as well as including where you are from...I miss the old KZbin format that included where people were from:( It is still hard to imagine that I am teaching someone in the Philippines from my home in Florida:) Thank you for choosing to learn from my channel and please say Hi from time to time and let me know how your studies are coming...and tell all your friends where to find some great FREE math help!

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I go to your channel whenever I need math help.Started 2 months ago.You rock, Sir! B-) I admire you for your patience and enthusiastic spirit! ~ high school student from the Philippines

[@profrobbob]

I'm glad you were looking for extra help and decided to choose my channel to watch and learn from! Next time you need help I hope you remember where to go...and be sure to share with your other classmates and friends:D

[@profrobbob]

I hope to hear about that A!!! I am thrilled you are finding my math channel so helpful. PLEASE spread the word...as my channel is pretty new a lot of people don't know about it yet:) You are welcome and thank you for watching.

[@profrobbob]

The +4 inside the base moves the graph to the left 4, so vertex moves from (0,0) to (-4,0)

[@jasoncater5737]

Oh man, you saved me! Now I can take this algebra test with confidence! My current teach isn't really cutting it so thanks for being there and uploading this video.

[@profrobbob]

Thanks for asking and caring and supporting...yes it helps if you can sit through them...maybe you'll get lucky and actually get one that interests you!

[@profrobbob]

Thank you for watching and for the kind words:) I hope you do great on your exams!

[@profrobbob]

I should say I have a playlists of any type of factoring you may have to do...difference of squares x^2+bx+c, ax^2+bx+c, factoring by grouping....etc. I know you are going to do great:D

[@super00141]

I go to a school called Bishop Carrol in Calgary. Its self directed so the only classes we have are an hour long or so. Pretty much like seminars in university and stuff. So most of my learning is online, so thank you for taking time out of your day to share your knowledge with the world! :D

[@profrobbob]

The alg 2 our school uses calls f(x)= a(x-h)+k vertex form but my PreCalc book calls it standard form and ax^2+bx+c general form.

[@profrobbob]

Happy I was there to help...and I hope you will return for any future help! Thanks for liking too:)

[@profrobbob]

The coefficient of 3 is a vertical stretch....multiplying the y values by three.

[@profrobbob]

THANKS...My wife is know as the "Queen of Everything" including shopping...we use to go to an antique boat show every year in Mt Dora FL and she found this one for me to wear to that show!

[@profrobbob]

Thank you for the clarification...WOW...sounds like you really have to be disciplined and "want" to learn attending a school like yours (I looked it up). You will certainly be prepared for College when that time comes! I am happy that you chose my channel to do some of your learning from, and I look forward to more lessons together:))

[@MichaelJLuna]

How come many professors do not explain how to graph parabolas in detail? Many Algebra textbooks do not go into to detail either. I have learned more from Prof. Bob in 15 minutes, whereas it takes me nearly an hour to figure out what my textbook is trying to explain, and the examples are not consistent with the exercises. THANK YOU PROF. BOB!

[@profrobbob]

Glad to hear you have found this channel so helpful! YOU"RE WELCOME:) Thanks for liking, studying and subbing and please take the time to share your experience and this free resource with your class and teachers to help us keep growing and helping other motivated students like you...BAM!!!

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You're students are so lucky to have you as a teacher thank you so much if it wasn't for you I would of probably failed the year and the eoc

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+catherine fraga you are so welcome...thanks for investing the time to study with Tarrou's Chalk Talk!

[@THE_CRYPT0_C0LLECT0R]

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[@profrobbob]

You're welcome...just go in there prepared with a positive attitude and you'll do great!

[@georgesadler7830]

Professor RobBob, thank you for Graphing and analyzing Parabolas with vertex, x and y intercepts. Graphing really helps with finding solutions to complex equations.

[@visuaviewer]

I should have just sent the tuition for my college algebra class to you. You are going to help me ace my midterm! Thanks for the awesome videos.

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[@profrobbob]

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[@bellamarie3443]

I am in College Algebra and this is GREAT!!! I struggle big time in math, but this is like tutoring without feeling all that pressure and frustration. I will definitely be using these videos to get through the end of my semester and when I start Stats in the summer.

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My teacher goes through lessons fast to show off his math skills, thank god for you, you take your time and allow me to learn :P

[@999-05]

i understood the whole semester with your videos better than with my teachers. thanks a lot

[@profrobbob]

+andrea garcia BAM!!! You're welcome! Thanks for choosing my channel to study with, like and sub to! Enjoy the break and be sure to keep watching and sharing my channel with all your new classmates:D

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+ProfRobBob I will share it, thanks a lot!

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+andrea garcia THANKS!

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Thank you so much alot more help than anyone else trying to help.

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Thanks a lot. You have no idea how much you had helped me as well as others students who are doing harder maths or maths extension without a tutor

[@profrobbob]

Finding your x-intercepts is finding solutions to a quadratic equation set equal to zero. You will either have to solve by factoring, completing the square, or the quadratic formula. The quadratic formula always works, but when you can factor, factoring is less work:D

[@Ellathegirl]

I love this, very clear, exactly what I needed. I'm in college algebra and this was a great help towards my studying for a test I have this week. Thank you this was quite helpful.

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Thanks for choosing Tarrou's Chalk Talk to study from and subscribe to Ellathegirl ! Now go pass that test like BAM!!!

[@profrobbob]

Nice to see you are still watching and paying such close attention:))

[@profrobbob]

That is a bit of a hard question to answer without knowing what your book considers standard for, or vertex form. Your parabola is opening up, with the x of the vertex = 4. With the latus rectum= 2 the vertex is 1/2 units above the directix. I hope this is a good enough hint to allow you to finish the problem.

[@profrobbob]

Glad you enjoyed and learned from my videos enough to subscribe...I really appreciate the support, my channel growth is through the voice of my subscribers...I hope you will continue to watch and learn and share with your friends!

[@vineetdeepika]

I didnt even knew a parabola 2 hrs ago ( i am a newbie) but your video has instilled atleast some momentous knowledge about it to me. In simpler words, thanks a lot!

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I like this dude;s shirt! Also, thanks for helping me! I have finals in a few weeks and I'm super scared!

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Thanks for watching! Nothing to be scared about when you go into that final prepared...so please subscribe, keep studying, and you might put a study group together and you could all watch the videos and help each other study...BAM!!!

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ProfRobBob thanks for the advice

[@profrobbob]

...now go pass those finals like BAM!!!

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ur teaching is so awesome. i love ur handwriting and humour and everything. thank u sir

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@stormseeker442 I am sad you hear you failed your test...but I am glad my video could help these problems seem easy now:):):) Good luck on your final!

[@two_three3365]

Thank you! I learned how to do this in algebra but by the time i was in precal I forgot. Well now i going into calculus 2 and while my professor is amazing, your videos help me gain a deep understanding.

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I hope you will continue to watch and learn from my channel for all your additional math help ...please share with your friends too:D

[@nunabsnais]

Fantastic! I'm in college algebra as well and was not getting much help on this from my textbook. So glad I found this.Subscribed and liked, my friend.

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THANKS for all that support alison! If all my subscribers were like you I would have a million of them by now:) Please keep sharing:D

[@alanzhu6411]

wow algebra in college? im a freshman doing ap calc....

[@nunabsnais]

That's great, Alan. I am just now going to college after being out of school 15 years. As you can imagine, not having used algebra for that length of time, it was quite difficult to remember everything. It was a good experience though, and I am grateful for the problem solving skill it taught as I move on. I wish you well in your scholarly endeavors.

[@aamirali5196]

alison mckee You tell him Alison!

[@profrobbob]

I should have said the parabola can open up or down...this is because your directix is horizontal. The axis passes through the vertex so the x of vertex is 4. The latus rectum length is 4P and it's length is 2, so 4P=2 then P= 1/2. The vertex is 1/2 units away from the directix of Y=-3, so the Y coordinate is either -3+1/2 or -3-1/2.

[@profrobbob]

The algebra book our school uses the same names for the vertex form and general form that your book does...my PreCalculus book does not:) Maybe I should add an annotation or add a note to the description. Thank you for watching and reminding me of the variation from my textbook.

[@frosty65596559]

thank you so much! i'm an eighth grader learning ninth grade math... this was SO HELPFUL... i have a math quiz tom on this....

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This makes it seem so much simpler! Thank you!

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You're welcome Goomba and thanks for watching, learning and liking...I hope you will subscribe and share my channel as well and help these free educational channels groW and remain free:D

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This vid has helped me tremendously. Thanks again

[@profrobbob]

...and thanks for studying!

[@profrobbob]

If the quadratic is factorable, you can factor it to find the x-intercepts once the equation is set equal to 0. Thank you very much for watching my video:)

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Just keep watching and your wish will be granted!...because just by the click of a button, "BAM" I can be right in front of you teaching:)) Thanks for watching.

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As earlier, these videos are making a lot of good impact on my grades. Thank you!

[@profrobbob]

+Sarthak Pu you're welcome...thanks again for taking the time to study with Tarrou's Chalk Talk!

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You're welcome! And thank you for choosing my channel to watch...please share it with your friends too:D

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[@profrobbob]

Me too Quinn Kalen and you shouldn't have that problem again now that you have subscribed:) Welcome back and I hope you will spread the word and tell all your friends and classmates to watch and SUBSCRIBE too...BAM!!!

[@quinnkalen6420]

Indeed I have and I have to go up to Calc 3! So you'll be seeing a lot of me!

[@profrobbob]

Quinn Kalen keep spreading the word and maybe someone will want to fund me so I can take a leave of absence and complete my Calc2 and make a Calc3 playlist for you...lol...BAM!!!

[@quinnkalen6420]

LOA sounds like it would be a good amount of time. How long would it take you to complete the Calc2 and Calc3 playlists, if you had funding?

[@profrobbob]

Quinn Kalen yes it would, but if I had enough to cover insurance and a years pay I could take a leave of absence from teaching for a year and make videos full-time...dream BIG they always say:) First goal is to get 100,000 subscribers by 2015...so keep SPREADING THE WORD:D

[@profrobbob]

Thanks...I was told by a viewer, just today, that I was the Imelda Marcos of shirts...I'm still chuckling:)

[@profrobbob]

Notice in the standard form I wrote in white chalk (x-h)….the negative is already in the standard from. Because of the negative in the standard form, it appears you change the sign of the value of h as you pull it out of the equation. If h was negative, like if h = -2 then the equation would be (x- -2) or simplified to (x+2)

[@profrobbob]

That's what I like to hear, just like in the movies..."You had me at "hello":) Thanks for liking all the way from the UK and I hope you enjoy learning from Tarrou's Chalk Talk!

[@profrobbob]

Thank you and thanks for watching:)

[@profrobbob]

Thanks for watching...coffee helps!

[@profrobbob]

You can always solve quadratic equations (finding the x-intercepts) using the quadratic formula...but factoring is faster if the equation can be factored:) Thanks for watching!

[@peaceful4you408]

I can understand chemistry and biology better than math because theres logic in them and the difficulty in them makes sense. Math should not exist.

[@not_potaytoes_hobbit]

You wouldn't be watching a video and using an electronic device if it was not because of math and all we can do with its applications. Science is not about logic, it is about evidence, objectivity and refutation, math is simply the best "language" that we have found for understanding phenomena and it exists whether people like it or not. greetings!

[@magicmike1122]

What do you do when math pops up in chemistry? Avogadro's number??

[@profrobbob]

That's how I "get" you to pay attention:)...and I see it worked!...lol Thanks for choosing Tarrou's Chalk Talk to watch and learn from:) I hope you will keep watching and sharing my channel with others and help my channel groW!

[@icebeam55]

Thank god for you, you teach me more than my math teacher

[@profrobbob]

That is correct. I have a playlist about factoring on my channel if you need a review:)

[@MJacksonRocksUrWorld]

How are you suppose to pay attention when the word, "Parabola" is so beautifully written on the board.

[@profrobbob]

GOOD LUCK on that test... BAM!!!...now go get that "A"!

[@profrobbob]

I was showing you how to get your answer in exact form...not a rounded off decimal.

[@profrobbob]

If you go the homepage of my channel you can use the magnifying glass to open a search window for my channel. Type in the topic you are learning to see if I have made a video for that yet. I do have a few videos for graphing Higher Order Polynomials.

[@tjppercussion]

What's funny and coincidental about your reference is that for our high school's musical this year, we did the Wizard of Oz, so that song is permanently etched into my brain. :D

[@profrobbob]

LOL...Yup...sounds a bit like the munchkins from OZ, hear it for yourself searching Munchkins in Oz "A Munchkin Welcome" Also, THANKS for watching and paying such close attention:)

[@profrobbob]

Thanks for noticing!!!!!

[@profrobbob]

It sounds like you want to watch my last example in Graphing Parabolas in Standard Form

[@monirahmad]

you are an amazing professor. Thank you very much!!!

[@profrobbob]

thanks for watching!

[@profrobbob]

By solve, do you mean set x equal to zero so you can find the y intercepts of your sideways parabola, or get this equation into standard form (vertex form)?

[@interested788]

I thought standard form is f(x)=x^2+×+#

[@jamieswift6554]

Omg be my teacher you seem so awesome! Wish me luck on my quiz tomorrow!! :)

[@profrobbob]

By the time you read this I hope you went in and passed that quiz like BAM!!! SUBSCRIBE and I can be your KZbin teacher anytime you feel like learning more math:)

[@profrobbob]

@AndresDX1 I wish you the best of luck. If you are motivated to seek out help on KZbin, I am sure you will do fine. Make a little mini quiz for yourself and try to take it without looking at an example, definitions, or formulas. Anything you need to lookup needs to be memorized for the real test. Don't throw away easy points because you can do the work, but you don't know what a word means or what the formula is.

[@tjppercussion]

6:37 - 6:40 is the best part. (This was also very helpful thank you :D)

[@rheannroman8951]

Right!? No one even commented on his singing!! (Sorry this is 8 years later)!

[@gdawgrapper]

As usual, excellent video. I just have a question/comment about what you call the standard form of a parabola. My textbooks and all I've seen call it the vertex form of a parabola. The form ax^2 + bx + c is what they call the standard form, standard quadratic form, or sometimes even what you call it in this lesson, the general form of a parabola. This is great. Keep it up.

[@Raxxinate]

Oh, Okay No Problem. Other Sources Consider It Being Called Both, Where As a(x-h)^2 + k Is The Vertex Equation. Anyway, Your Video Helped Me Recall Some Techniques That I Had Learned Previously, And Some Thins That I Never Learnt Before, Thanks.

[@profrobbob]

I don't understand your comment. At 8:15 I am using the x of the vertex to find the y of the vertex.

[@profrobbob]

You are sooooo witty...maybe you could get a job with John Lasseter writing new movie material:)...lol Glad to see that all those downloads are working too!

[@jas_utube]

you are so cool!!! always like your fun math videos.keep up!and thx for your time and great explanation

[@profrobbob]

Thanks for watching and taking the time to thank the teacher:) Sub and keep spreading the word:D

[@profrobbob]

Imagine how many bad jokes and singing my wife has heard in 24 years...LOL Thanks from one LEGEND to another:))

[@forrest225]

Thanks, this is good review for my finals coming up.

[@mariabiancaramonacalumba6286]

I LOVE U THANK YOU FOR THIS

[@profrobbob]

You're welcome and thanks for studying and subbing! Please share this free study resource with your teacher too:D

[@hwangtammy]

I wish my math teacher was as enthusiastic as you...