Grade 9: Graphing Quadratic Functions and Analyzing the Effects on its Graph

This time, we will learn how to graph quadratic functions and analyze the effects of changing the values of a, h, and k. Also, we will determine the (a) domain; (b) range; (c) intercepts; (d) axis of symmetry; (e) vertex; and (f) direction of the opening of the parabola.
Here’s the link of the video tutorial on how to transform quadratic function into vertex form: • Grade 9: Modeling, Rep...
If you have personal inquiries, you may contact me in my FB PAGE. Here’s the link to it: / sirchadtv
Ctto: Yes Meme • JJBA - Jotaro "YES YES...

[@filoteokarissaannea.4024]

I see you're a man of culture as well

[@sirchad]

Thanks for checking my channel Karissa. 😁👍

[@lovelymendoza8730]

Thank you sir chad.. this video gives me idea on how to explain such topic to my students in a simple but very informative way.

[@sirchad]

Glad it was helpful to you ma'am Lovely. 😊 Salute to all teachers especially in this new normal. ❤️

[@ansherinadelacruz6130]

Jojo na this, thank you sir! mas naiintindihan ko pa po dito.

[@sirchad]

You're welcome Dela Cruz. 👍😊

[@rhenzquinzo1746]

dapat din nating suportahan ang mga gurong nagsisikap para may matutunan tayo❤️ KEEP IT UP SIR❤️

[@sirchad]

Thanks for appreciation Rhenz. 👍😊

[@fearlessswift644]

Thank you so much sir!❤ Finally na gets ko na yung lesson sa module namin😆

[@sirchad]

You're welcome Fearless Swift. I am grateful that I can help you. 😁

[@tatsukikun170]

I don't skip the ads sir its all thanks to you po :> ORAORAORAORAORA

[@sirchad]

Thanks you Tetsukiya. 😁 Thanks for supporting my channel. 😁

[@p_chanya]

thank you so much sir! Nakatulong tlga sakin, wla kasi kaming book tsaka OC sa math

[@ihrskye]

Ung meme talaga yon wahhahshahshahsa btw thank u po, sir

[@sirchad]

You're welcome lhr. 😁 Nakakatuwa at naaappreciate nyo ang mga memes. 😊 Pampatanggal antok din. 👍😊

[@MrsChumz23]

Hi, Sir Chad! More power sayo. Isa ka talagang alamat!

[@luciacueto8652]

Thank you so much for all your video tutorial,a great help for me to share with my students ..very clear explanation and my students really appreciated for what you have shared..God bless sir..

[@sirchad]

You're welcome po Ma'am. 😊 I am grateful that I can help you and your student through these video tutorials po. Thank you po for appreciation. Stay blessed. 😇

[@julieannvillas7915]

Sir, how to graph f(x)= -10x^2 shifted 2 units downward and 6 units to the left? Give the equation function

[@arthjustin1657]

Very easy to understand sir! helpful po ang way of teaching. Nagets ko na gagawin 😁

[@sirchad]

Thanks for appreciation. 😁

[@gamezyrell0723]

Its really helping me a lot as a student

[@sirchad]

Thank you for appreciation Game Zyrell. 😁👍

[@gamezyrell0723]

@@sirchad your welcome sir

[@princeromo5343]

Sir how would we find the x intercept if the k is negative and a is greater than zero like x²-5?

[@sirchad]

Hello Prince. If you want, you can message me in my Facebook Page to discuss this 😁

[@bonnnnnnn.8540]

Sir chad malakas!thank you po sa pagtuturo🤗

[@sirchad]

Thank you for appreciation Leonardo. 😊👍

[@idontknowmyuser]

You're A Legend Sir Mas naiintindihan ko pa to kesa sa teacher ko sa oc😁

[@sirchad]

Thanks for appreciation Mark Ryan. 😁👍

[@johnericagarin6619]

Thank you po ulit sir❤️ nagpapadali po and pag sagot ko ng module😍

[@sirchad]

You're welcome John Eric. 😁 It is good to know that I can help you. 👍

[@rallionbulos4187]

Thank you sir malaking tulong po ito❤

[@sirchad]

You're welcome Rallion. 😊👍

[@mixiaguerrero8218]

Sir, How do you get the x and y intercepts if it's in vertex form? Thanks

[@sirchad]

Hello Mixia. The process of finding x and y intercepts when the function is in vertex form will be the same. You can find the x-interecept when y=0 and y-intercept when x=0. 👍😊

[@mixiaguerrero8218]

@@sirchad thank you so much, sir.

[@sirchad]

@@mixiaguerrero8218 you're welcome. 👍😊

[@thumbilinagrego3319]

Mas lalo ko po na intindihan ang module 😍😍

[@sirchad]

That's good to know. 😊 Thanks for checking my channel. 👍😊

[@gabrielbalano2302]

A true chad indeed. Thanks

[@sirchad]

You're welcome. 👍

[@cellinejhazhelrala1336]

Hi sir chad! your vlogs helps me a lot in my assignments.. I just wanted to ask what if the given is y= 2x^2 only? how will I compute it?

[@sirchad]

Hello Celline. Thanks for your question. 😊 I answered that question here in my video tutorial. You can see it in the latter part. 😁

[@cellinejhazhelrala1336]

@@sirchad oh! I'm sorry..... Btw thanks for your time for answering my question!😊😊

[@sirchad]

@@cellinejhazhelrala1336 you're welcome. 😁 I am happy to help you. 😊

[@alianarosecastillo1197]

Ang galing nyo sir naintindihan ko po thank you po!

[@sirchad]

You're welcome Aliana. 😁👍

[@johnpaulmagan1423]

Thank you Sir.Chad

[@sirchad]

Your welcome Naruto. 😊

[@s_xi1]

I understood a bit but some of ur explanations were in flipens so I really couldn’t understand much, I like the background noises doe lol is it only me….tysm chad

[@gabrielesquero8520]

Thank you po sir mas naintindihan ko pa kaysa sa teacher namin 😄😄

[@sirchad]

You're welcome Gabriel. 😊

[@keziahsydney637]

Thankkyouu so much Sir❤❤

[@sirchad]

You're welcome Keziah. 😊

[@nelbertpatulot4743]

sir salamat po napakalaking tulong nito samin!!galing mo po

[@sirchad]

You're welcome Nelbert. 😊Thanks for appreciation also. 😁

[@emmadoligon9901]

Thank you po sir nagets ko po dahil sa inyo ❤

[@sirchad]

You're welcome Emma. 😊😁

[@ronjonheugenio7368]

Thank You for this video🙂

[@sirchad]

You're welcome Ron. 😁👍

[@toumakikuchi7041]

Thank you sir!!

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You're welcome Sheryl. 😊

[@taehyungkim2910]

thank you so much sir!

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You're welcome. 😊

[@preciousalthearomasanta5527]

Thankyou sir! it helps me a lot po para sa module namen..

[@sirchad]

You're welcome Precious. 😊👍

[@nini_077]

Thankyouuuu zirrr kala ko anghirap pero di pala HAHHA

[@sirchad]

You're welcome Keith. 😁 Yes, Mathematics is easy. We just need to have patience with it. 😁

[@aronzepokemon2619]

3:21 as expected from your name very *CHAD* move wasn't expecting a jojo reference while *seriously* doing modules. very nice!

[@sirchad]

Thanks for appreciation Aron. 😁

[@johnlouiemaboloc8926]

Ang Galing mo po magturo sir ! naiintindihang mabuti

[@sirchad]

Thank you John Loiue 😊

[@johnlouiemaboloc8926]

Your welcome po sir karapatdapat po kaung bigyang galang 😍😊

[@sirchad]

@@johnlouiemaboloc8926 thank you for the support. 😁👍 stay blessed.

[@princessdawal1169]

Thank you again sir

[@sirchad]

You're welcome Jayjay. 👍😊

[@phoebeannyusay3894]

Thank you po sir!!

[@sirchad]

You're welcome Phoebe Ann. 😊👍

[@rafolsallysa9423]

sir salamaaat po uliiit! spare me some intelligence pleaseeee! ang galing nyo pooo thank you po talaga

[@sirchad]

You're always welcome Allysa. 😁 You can be good at Math through constant practice. I know you can do it. 👍😁

[@marygracebalasta9168]

sir paano po kapag positive negative 2 square root of 3 minus 4 po ung lumabas sa x intercept?

[@Mikaaazuki]

Thank you po sir sa pagbigay ng clue po sa learning task 4...hehehehehe

[@sirchad]

You're welcome Janwen. 👍😊

[@ginuelmartizano4051]

Thanks ulet sir naintindihan ko nanaman po at God blessed po sa iyo

[@sirchad]

You're welcome Ginuel. God bless you too. 😁

[@ashleyescasura4219]

THANK YOUU SO MUCHH POO!!!!😭❤️❤️

[@adriennejoyzaportiza5227]

Thank you sir! I'm keen in learning math

[@sirchad]

You're welcome. 😊

[@adriennejoyzaportiza5227]

@@sirchad it really helps me understand sir. Thanks a lot❤

[@sirchad]

You're always welcome. 😊 Thanks for checking my YT channel. 😊

[@israelreyes1243]

Thank you po sr ang galing mo po mag paliwanag sa math

[@sirchad]

You're welcome Israel. 😁

[@denielangelopasia9928]

Thanks!💗

[@sirchad]

You're welcome. 😊

[@ferrr.7259]

Salamat sir you help me so much :)

[@sirchad]

You're welcome. 😊

[@hansuketakahashi0009]

10 times much more effective than online classes. ._. -Millennials XD

[@sirchad]

Glad to hear that. 😊

[@tiltedkozu27]

nice video again very helpful thank you sir chad

[@sirchad]

You’re always welcome Marco. 😊

[@tiltedkozu27]

@@sirchad thank you again sir i subscribed to you because your very helpful hope you have a good eveningg

[@tiltedkozu27]

@@sirchad btw naging teacher po ba kayo sa faith or teacher po talaga kayo sa faith?

[@sirchad]

@@tiltedkozu27 thank you Marco. 😁

[@sirchad]

@@tiltedkozu27 yes Marco. Naging teacher ako sa FAITH. 😁👍

[@Levi-mn5nk]

Sir ang bilis mo mag paliwanag pero tinatry kopaden malaman at madame ako natutunan

[@sirchad]

Thanks for appreciation Levi. 👍😊

[@rizalyntrinidad]

Thankyouuuu po😁

[@sirchad]

You're welcome Rizalyn. 😊

[@sheannekayevirtudazo]

Sir chad thank u po❤️❤️😀

[@sirchad]

You're welcome. 😊

[@_remeise]

thank you po sir❤️❤️❤️❤️

[@sirchad]

You're welcome Bea. 😊

[@rhinnamaylapasanda9481]

Thank you sir , can I suggest a quadratic inequality using three test points , the sign graph and graphing (in two variables).😁

[@sirchad]

You're welcome NO NE. I will include this in the list of topics I will cover. 👍😁

[@johncoming8540]

Thanks. Sir naka tulog po🥺♥️

[@sirchad]

You're welcome John. 😁👍

[@maryjoycebaluscan6859]

Thank you sir

[@sirchad]

Welcome Mary Joyce :)

[@kelvindavidvlogs9298]

Sir question Lang po pano po ba na ii transform Ang fraction to desimal?

[@sirchad]

You just need to divide the numerator by the denominator. 👍

[@ckrizelygar3291]

salamat po 🙂

[@sirchad]

You're welcome Ckrizel. 😊👍

[@joelvalintv9179]

idol, grea6 help, mahusay mag explain

[@rejanmaeboco1720]

Arigatoooo sensei chad!!😁👍

[@sirchad]

You're welcome Rejan Mae. 😁👍

[@johnmichaelvincentmagtibay1713]

Thank you po sir

[@sirchad]

Welcome John Michael 😊

[@arneiljakebayaras9012]

Thank you

[@sirchad]

You're welcome. 👍😊

[@jmthoughts3373]

Sir what if the given equation is y=-2x^? I know you can help me this❤THANK YOU

[@angelannmagaling1143]

Sir pag po ba negative tulad po nito - 2x² downward po?

[@sirchad]

Yes it is Angel. 👍😊

[@clariziahrodriguez9642]

Hi po sir! tanong ko lang po, paano po makukuha ang x and y intercept kung wala pong given equation?

[@sirchad]

Hello Clariziah. Thanks for your question. 😊 If there is no given equation, you can get it from the graph. If there is no graph and there is only table of values, you can use it to graph the parabola and get the points where the parabola intersects the x and y axis. 😁

[@clariziahrodriguez9642]

di ko po magets sir, yung given po kasi dalawang x intercept eh :(

[@sirchad]

@@clariziahrodriguez9642 I have an example in my video tutorial regarding that. 😁 You can watch it for some tips. kzbin.info/www/bejne/m6rTcqCbi8SDo9E

[@dreix5414]

21:24

[@reynaldaberecia527]

Sir sakin po yung vertex = (16,-12) I lolowest term pa po ba yan?

[@sirchad]

Hello Reynald, thanks for your question. 😊 There is no need to lowest term it. 😊

[@reynaldaberecia527]

@@sirchad OK po, thank you po sir😊😊

[@sirchad]

@@reynaldaberecia527 you're welcome. 😁

[@reynaldaberecia527]

@@sirchad sir paano po pag walang possible na number na pagminultiply ay yun din and sagot kapag inadd?, kagaya po nito 0=-3x²+12x-7

[@sirchad]

@@reynaldaberecia527 if medyo nahihirap ka sa pagfafactor, you can use the quadratic formula. 😁 It is really helpful. 👍

[@aicertap_3354]

Sir thankyou, Sabi ko din sa ma'am ko pagmali sagot ko Ibig sabihin mali si sir Chad ng turo hahaha char

[@sirchad]

Hello STRAYKIDS, good day. 😁 You're welcome btw. If you have any questions, don't hesitate to contact me in my Facebook Page. 😁

[@jaybfortaliza28]

salamat nakapag sagot ako yung sa vertex

[@annonymousysy4432]

Hello po. Pano po yung mga example ng parabola. Kunwari po ishoot yung bola may imaginary line sa picture na nagmake ng pa curve. Quadratic function po bayun o hindi?

[@sirchad]

Hello Aubrey. Thanks for your question. 😁 Yup. Anything showing a parabola form is a quadratic function. 👍

[@sirchad]

Hello Aubrey. Thanks for your question. 😁 Yup. Anything showing a parabola form is a quadratic function. 👍

[@altheaasuncion4211]

Sir Chad can I ask a question what if PO yung unang number po is naka negative po like "y=-3x²+12x-7"?

[@altheaasuncion4211]

Same lang po ba ng procedures?

[@sirchad]

@@altheaasuncion4211 hello Althea, yes. The procedure will be the same. 👍😁 If you still have some questions, don't hesitate to contact me in my Facebook Page. 😊

[@janleiram6386]

Konnichiwa sir chad!!i just want to ask if kapag po ba kukunin yung x and y int kailangan po bang positive yung a?thank youu po mas naiintindihan ko po ang aming lessons😁

[@sirchad]

Hello Jan. Thanks for your question. 😊 Even the value of "a" is negative, you can get the x and y intercepts. 👍😁

[@janleiram6386]

Arigatooo sir chad!💗

[@sirchad]

@@janleiram6386 you're welcome. 😁👍

[@bernadetteadea717]

sir kapag po ba x² lang yung a, quadratic formula po ba ang gagamitin dun? thank you in advance po sir

[@sirchad]

Hello Bernadette. Thanks for your question. 😊 It depends. If you can factor the equation easily, use factoring. But if you can't, you can use the quadratic formula. 👍😁

[@bernadetteadea717]

@@sirchad sigi po salamat po sir

[@sirchad]

@@bernadetteadea717 you're welcome. 😁

[@angelv.9796]

Thanks sir naiintindihan ko na po😊... Pero sir ask ko lang po na if ung a po is negative?... How po ba yun?

[@sirchad]

Hello Angelica. If a is negative, the process will be the same. You just need to factor out -1 from a. Same treatment when a is not equal to 1. 👍😊

[@carmeldelacruz5183]

hi sir. paano po naging V=(-2,2) ung vertex nung pinaka last, dba po +2 ung h salamat po..

[@sirchad]

Hello Carmel. Thanks for your question. 😊 Take note that in the vertex form, "h" has minus sign, (x-h), remember? Therefore, you need to put negative sign. 😁

[@carmeldelacruz5183]

@@sirchad thanks po

[@sirchad]

@@carmeldelacruz5183 you're welcome. 😁

[@Blanxyness]

May pa JoJo pa si sir🤣

[@sirchad]

😅😅😅

[@ronelrotas6616]

Sir ask lang po pano po pag y=x² + 8x + 4? I d divide paden po ba yun sa 2 para makuha po yung x intercepts? Kasi po pag hinde, hinde ren po sya ma factor

[@sirchad]

Hello Ron. Thanks for your question. 😊 If hindi mo sya mafactor. Try to use other method like quadratic formula 👍

[@ronelrotas6616]

Thanks sir sige po gawin ko po yan♥️

[@tsktsk5083]

Paano po pag y=9-2x² iibahin ko po ba ang position or ganto na rin din po?

[@sirchad]

Hello Twix. Thanks for your question. 😉😊 What is asked in the given quadratic function? 😁

[@tsktsk5083]

We need to justify our answers by solving and graphing

[@tsktsk5083]

I already figured it out sir thanks sorry to bother u 😅

[@sirchad]

@@tsktsk5083 hello Twix. That's fine. 👍😁 If you want, you can always message me in my Facebook Page. 👍

[@sheldoncooper891]

hulaan ko size nan... 3ft 2ft tama bba?

[@glaizamontero5709]

hi po sir, 0=x^2+8x+4 ididivide ko pa po ba to sa 2?

[@sirchad]

Hello Glaiza, thanks for your question. 😊 You do not need to divide it by 2. If you can't factor it directly, try to use other method like quadratic formula. 👍😁

[@sonnyandal3292]

Sir bakit ng -2 yung nasadulo sa -6-2?

[@sirchad]

Hello Sonny, as I said in the video, you must subtract the number you enter inside the parenthesis. 😊👍

[@lourdescaoile992]

nakahanap din ako ng lugar kung saan maiintindihan ko ung math. Mahina kasi ako sa math kaya hindi ko maiintidihan ung lesson lalo na quarantine sa module lng pagsasagot.

[@sirchad]

Maraminh salamat sa suporta Lourdes. 😊

[@kathsmith3046]

Thank u po

[@sirchad]

You're welcome Kath. 😁

[@ackkyyykayyy3684]

sir ano po kayang number ang pwedeng i divide sa x^2 ? thankyou po

[@sirchad]

Hello. 😊 First, anong reason bakit mo sya need idivide?

[@radkarolv.castro6068]

Sir, can you demonstate to us what will be the outcome of the parabola if x is an imaginary number. Is it possible?? makakasama pa po ba yung x? Ty po

[@sirchad]

Hello Rad. What do you mean x is an imaginary number? Is it the x-interecept?

[@labiduobi8895]

sir chad salamat po sa video niyo ang dami ko pong natutunan.... tanong lang po how about po kung ang given is y=-x²+4??? maraming salamat po😊😊😊😊😊

[@sirchad]

Hello Tiffany, thanks for your question. 😊 If that is the given function, therefore, it has no "h" but it has "k" which is +4. 😁

[@labiduobi8895]

@@sirchad maraming salamat po!!!!!☺️☺️☺️☺️

[@sirchad]

@@labiduobi8895 you're welcome. 👍😊

[@bluejayzerplays7409]

sir pano po pag 7 po ung C tapos need po i divide to 2 edi 3.5 po?

[@sirchad]

Yes it is. 👍 Or 7/2. That will be fine.

[@bluejayzerplays7409]

Thank you po sir

[@sirchad]

@@bluejayzerplays7409 you're welcome. 😊

[@hansuketakahashi0009]

3:20 surprised me XD

[@sirchad]

😂😁

[@jupay-so9eq]

Bakit po pag ginamit ko yung formula in finding the value of h po yung -b over 2a, ang lumabas po ay -1?

[@lalaineagatha1968]

paano po nagka -2 doon sa 2x²-2 sa huling example

[@sirchad]

Hello Lalaine. Thanks for your question 😁 The given equation has -2, that's why it has -2 👍

[@bea_crstmo1524]

Hii sir can you help me?, idont understand the math

[@sirchad]

Hello Bam. What can I do for you?

[@Mikaaazuki]

Sir pag ang x intercept po ay 0 tama pa din po?

[@zildjianpaqueo3553]

sir may ike-clear lang po ako sa 26:17 po...diba 4(2)(-2)-0^2 all over 4(2) is 0/8?? bakit po -2?

[@sirchad]

Hello Zildjian, take a look below: 4(2)(-2)-0² =-16-0 =-16 Therefore, the numerator is -16 and not zero. 👍😊

[@janrossgonato4571]

Wala pong numerator sa 0

[@sirchad]

@@janrossgonato4571 what do you mean walang numerator sa 0?

[@janrossgonato4571]

@@sirchad I'm sorry for incorrect grammar. I mean wala po numerator na ( 0 )

[@janrossgonato4571]

And I'm replying for the head commentor.

[@khrizaryenurapbuenaflor3001]

Sir Chad ask lang po, bakit ka po naglagay ng -1? dahil po ba kulang yung binigay na number? i mean gumawa ka po ba ng imaginary -1 para may magsilbing “A”?

[@athemusynthesis]

Sir ask ko lang po ano po yung sagot kapag x squared divided by 2 po? Thank you po

[@sirchad]

The answer will be simply x²/2. 👍😊

[@athemusynthesis]

@@sirchad thank you po sir ❤️

[@sirchad]

@@athemusynthesis you're welcome. 😊

[@frannytin764]

Sir ano po pinag kaiba ng linear function sa quadratic function?

[@sirchad]

Hello Franny, thanks for your question. 😊 maraming pinagkaiba ang dalawang function, pero ang pinakamalaking difference nila is yung kanilang highest exponent. Linear Functions have highest exponent in one variable of 1, while in Quadratic Functions, the highest exponent is 2. 👍😁

[@frannytin764]

Wow!! Maraming salamat po sa sagot😁

[@sirchad]

@@frannytin764 you're welcome Franny. 👍😁

[@hyunjin1103]

pano po pag hindi po real number yung lumabas sa x-intercept?

[@sirchad]

Hello Hyun Jin. 😁 Thanks for your question. If hindi sya real number, therefore, there is no x-interecept. 👍

[@hyunjin1103]

thanks sir

[@sirchad]

@@hyunjin1103 you're welcome. 😁

[@jadereyes1348]

sir pano po kung hindi kayang ma perfect square?edi hindi napo gagalawin?

[@sirchad]

Hello Jaydeey. Thanks for your question. 😊 Can you send me the function that you encounter? 😁

[@sirchad]

Hello Jaydeey. Thanks for your question. 😊 Can you send me the function that you encounter? 😁

[@beamaequijano9096]

sir paano po pag may Ganito po halimbawa lang po 1/8 or4/6 ganyan po or 4/6 squared,paano po iyan I solve?

[@rexivanbernales4968]

Sir pano po to answeran ito yong question, what is the trend/behavior of the graph of quadratic function y=3x2 in relation to the graph of y=x2? A.move 3 units downward B.move 3 units upward C.become narrower D.become wider

[@sirchad]

Hello Rex. If you will try to graph this, you can notice that the graph becomes narrower. 👍😊