How to find a TURNING POINT of a QUADRATIC

How to find a TURNING POINT of a QUADRATIC | GCSE Maths 2023

Рет қаралды 44,360

MyGCSEMaths

Жыл бұрын

#turningpoints #quadratic #gcsemaths #gcserevision #gcsemathsrevision #gcse #gcse2023

Пікірлер: 55

@hammzasalman_420 11 ай бұрын

Homie you literally saved me a shit ton of time, even chatgpt couldnt do it for me lol. Thanks alot bro appreciate u

@mygcsemaths 9 ай бұрын

My pleasure mate, glad it helped 🙏🏻

@youaredumlol3395 7 ай бұрын

it actually can if you ask for the specific X and Y

@r_xi3380 8 ай бұрын

-b/2a = x value of turning point = -(10)/2(1) = -5 Plug -5 back into the quadratic to find y value f(-5) = (-5)^2+10(-5)+24 = -1 Turning Point = (-5,-1)

@alienlord5121 10 ай бұрын

Bro you are actually so underrated thank you so much

@mygcsemaths 9 ай бұрын

My pleasure mate 🙏🏼 Blow up coming this year hopefully 🚀

@jxstmlg9379 Ай бұрын

thank you

@victoriangandu8829 8 ай бұрын

Amazing 🥰 I'll understand, answer and pass my exams with flying colours in the same way Amen🙏

@user-rv5fs5bk3q 6 ай бұрын

Bro you're smart.

@PlushSaku 6 ай бұрын

0:30 ohh

@callmehayu Ай бұрын

OMG GOD BLESS YOU OMGGGG I WASN'T UNDERSTANDING ANYTHING YOU SAVED ME THANK YOU THANK YOU 🩷🩷🩷🩷

@mygcsemaths Ай бұрын

Soooo glad it helped! 🙌⚡️

@kleesbombs 27 күн бұрын

EMU OTORI

@callmehayu 27 күн бұрын

@@kleesbombs YES

@Endguysplayz 5 ай бұрын

Bro thanks.. here is an easy way of doing it a=1 b=10 c=24 Step 1. p= -b/2a p=-(10)/2(a) p=-10/2 p=-5 Note: p is equals to the x coordinate . Step 2: q= 4(a) (c) - (b)²/ 4(a) q=4(1) (24) - (10)²/ 4(1) q= 96 - 100/ 4 q=-4/4 q= -1 (-5,-1) Note: q is equals to the y coordinate.

@Spiderman-mn9bb 2 ай бұрын

thanks for saving time\

@mygcsemaths 2 ай бұрын

My pleasure! Thanks for the comment ⚡️

@endergasimz2099 8 ай бұрын

I love you

@LDNJinx 7 ай бұрын

If the x was a number would u also divide the number by 2? Pls someone tell me I have my maths test tomorrow

@user-go1xe3rb7k 6 ай бұрын

You just earned a new subscriber❤

@hugodelagarza4802 10 ай бұрын

Do -b/2a and plug the answer into the quadratic to get your y value and use the same x value

@kelvincoemsfactory 4 ай бұрын

Another way is using -b/2a = x or just turning the equation into the standard form and solving it

@Mod3bola 9 ай бұрын

God bless you

@Doll28194 7 ай бұрын

never have i understood math so quickly, thank yo broski 🫶

@zanonoza4918 6 ай бұрын

Thank you for the helpful video

@mygcsemaths 6 ай бұрын

My pleasure! ⚡️

@radyoneu2082 9 ай бұрын

Why do you subtract 25

@jirehmontes4998 7 ай бұрын

Why does he half x^2 and 10x? Just a step that confuses me a bit🙏🏼

@user-rj5fu3zo1i 10 ай бұрын

I have my baseline test for gcse recap tomorrow and I'm in yr12 I forgot about this and you saved me time and is very useful Thank you

@nolukewarm72 10 ай бұрын

Mine's today and this really is a help to me

@iliaakhavin7528 8 ай бұрын

Wow

@fisherdude6893 10 ай бұрын

Thanks so much, first day of geometry and reviewed from last year. Didn’t get any of it and now I do in 2 mins of trying thx so much.

@mygcsemaths 9 ай бұрын

Great to hear! So glad it helped 🤩

@zerofourtie 10 ай бұрын

Cheers

@iliaakhavin7528 8 ай бұрын

❤❤❤

@tabbyblu771 9 ай бұрын

🥰🥰🥰 the tutor😅

@crepfish3066 2 ай бұрын

when we have a quadratic eqn with a negative coefficeint, does this still work as is or must we take the - sign in common and THEN carry the formula out?

@SheriffDeen_ 9 ай бұрын

❤

@DomnulDarius Ай бұрын

Too much stuff I gotta learn might as well just flip burgers but cheers mate

@tosinkuti8908 2 ай бұрын

wait but how do you plot the graph

@suhaangoyal631 6 ай бұрын

hi what to do if there are two turning points will this trick work in that

@mygcsemaths 6 ай бұрын

No it won’t, but you don’t have to worry about any graphs with two turning points in GCSE Maths

@psyso-cleanedits8953 2 ай бұрын

A quadratic only has one turning point but for equations with two turning points you can use calculus. If the derivative = 0 and the second derivative does not = 0 then it is a turning point. If you find all the x values that make the first derivative 0, you can test them by plugging in to the second derivative to make sure the second derivative does not = 0. You can then plug in all the x values that passed the test into the original function to get the y coordinates of the turning points. I also think it is easier to use derivatives for quadratic functions to find turning points. You can super easily find the derivative in your head which would be 2x + 10. If you set it equal to 0, you get that the x coordinate is -5 and you plug that back in to the original function to get the y coordinate. You don't need to check the second derivative because there are no points of inflection on a quadratic.

@MM_-py9pn 8 ай бұрын

Isnt dy/dx easier… (help im going insane over this.. quadratic graph😭)

@mygcsemaths 6 ай бұрын

You could also find dy/dx, set it equal to zero, solve for x, and sub in to find y

@The_Man_oj Жыл бұрын

what if the coefficient is an odd no. ?

@Mathspaperks1ks2 11 ай бұрын

Same idea you would halve the odd number so you would just half it.

@Abdd17 Жыл бұрын

👍

@jyotichatla1078 Ай бұрын

Diffrentiate and equate the function to zero ez

@matthewtimothymiguel8408 10 ай бұрын

Why did the (x+5)² become -25?

@mail9897 10 ай бұрын

When you change x² + 10x into (x + 5)², the x² and the 10x remain the same, but you end up with an additional product of 25, which must be negated by subtracting 25.

@Guttor 10 ай бұрын

search how to complete square method on youtube

@BeyondBirthday456 10 ай бұрын

basically what he did was +(5)^2 which went in the bracket with x making it (x+5)^2 then -(5)^2 which gave us -25. If u want to know the reason behind this, he used the completing square method. I recommend watching a few videos on it as it is really easy to learn and helps a lot with problems like these and is the easiest method to figuring out equations of circles.

@Endguysplayz 5 ай бұрын

Here is something for you a=1 b=10 c=24 Step 1. p= -b/2a p=-(10)/2(a) p=-10/2 p=-5 Note: p is equals to the x coordinate . Step 2: q= 4(a) (c) - (b)²/ 4(a) q=4(1) (24) - (10)²/ 4(1) q= 96 - 100/ 4 q=-4/4 q= -1 (-5,-1) Note: q is equals to the y coordinate.