sorry for all the questions

[sour pagoda]

I ain’t been taught this yet n idk the topic name 💀💀 but wit this one wouldn’t the graph be the same but the y intercept is -1.5 instead?

[left sentinel]

yes the y intercept is -1.5

@sour pagoda

[hollow sapphire]

Can you explain that please

[left sentinel]

explain why the y intercept is -1.5? it is because the line meets the y axis at -1.5

[hollow sapphire]

No the y=f(1/2x) transformation

[left sentinel]

ohh okayokat

so u have the coordinate let's say

(1, -4)

itll be hard to understand since u havent learnt it but I'll try my best

f(½x)

means that w every single x axis u would multiply by 2. so u just do the opposite of whatever is in the bracket. so the opposite of half is multiply by 2 or divide by a half right

so the coordinate (1, -4)
changes to (2,-4)

and u do that w every coordinate basically but once uno a coordinate u just copy the shape

[hollow sapphire]

Why aren’t we halfing the x coordinate?

[left sentinel]

because when doing fucntions u do the opposite for the x coordinates

[hollow sapphire]

So if it was y=f(2x) we’re halfing the x coordinate?

[left sentinel]

so if it was f(x+3) and u have coordiantes (5,2) u would minus 3 for the x oordinate so its (2,2)

[left sentinel]

yep

but it's different for the y coordinates

if it was

f(x)+3 that means ur changing the y oordiante

so if i had (2,2)

i was add 3 to the y

so it would be (2,5)

so for the x u do the opposite but for the y u dont

[hollow sapphire]

What about y=2f(x)

We double the y?

[left sentinel]

yeppp

[hollow sapphire]

Ahh

Last q

[left sentinel]

yes

[hollow sapphire]

Let’s say that same quadratic was drawn as well as y=f(1/2x)

How would we describe that transformation?

[left sentinel]

we would say translation in the right by 1. or vector
(1
0)

and i know that because when i wrote the coordinates out the x oordinate went from 1 to 2

so the graph must've moved to the right by 1

[hollow sapphire]

But wouldn’t that be y=f(x-1)?

[left sentinel]

yes they both have the same transofmation

actually

[hollow sapphire]

Gotchu

[left sentinel]

i believe thats correct

[hollow sapphire]

Tysm

[left sentinel]

nwsss

[hollow sapphire]

Can I ask one more?🙏

[left sentinel]

oh btw sorry u were correct here but w the f(½x) its not translation in the right by 1. sorry for that. im actually not sure hoe u describe the transformation.

[left sentinel]

yes sure

for f(x-1) it would be translation by 1 in the right but for f(½x) im not toally sure but i believe u can say its an enlargment

[sour pagoda]

Yo 💀

[left sentinel]

because the graph stretches out. its not actually moving

[sour pagoda]

Wait so I was correct?*

[left sentinel]

yes u were

[left sentinel]

it is -1.5

[sour pagoda]

Coldd luv brother

And thanks for the explanation

[left sentinel]

nws

nwsss lol

[hollow sapphire]

The original graph is y=x^2-2x-3 so how would you form an equation with y=f(1/2x). Is it just y=2x^2-4x-3?

Or is the opposite and I’m halving

[sour pagoda]

Bruh i went shops n came back to this yk 😹😹😹

Banging snacks

[hollow sapphire]

goated choice

[left sentinel]

hmm okay so for these types of questions u replace the x with ½x to find out the new equation I believe

[sour pagoda]

Thanks bruh

Um doing all of this Yh

Ym

I jus looked at the y intercept 💀

Am I meant to be doing allat

For tougher questions

[hollow sapphire]

but on desmos the y intercept is (0,-3) when doing y=f(1/2x)

[sour pagoda]

Desmos is a liar

[hollow sapphire]

😭😭

[left sentinel]

so usually when ur working out equations like this. well for me. i work out what x is equal to and then i replace the x with ½x to find out the translated x oordinate

[hollow sapphire]

wdym

[sour pagoda]

But bro it was a 1 marker 💀

I think for more complicated questions

[sour pagoda]

Yk the equation of the line

He used it to find out x

And then halved it

I think

[hollow sapphire]

what so factorise the eqn then halve the values of x?

[sour pagoda]

What’s the eqn

[left sentinel]

so for x²-2x-3
the roots are

x=3 and x=-1

and to do f(½x)

i would change the x to ½x

so ½x = 3 and ½x = -1

then I solve for x so

x = 6 and x = -2

those are the new transformed roots

[sour pagoda]

Smart

But can’t you jus look at the y intercept

[left sentinel]

for what?

[sour pagoda]

The question

[left sentinel]

im not sure what u mean

[sour pagoda]

Hol on

[hollow sapphire]

so the new equation is x^2-4x-12?

[left sentinel]

okay

[sour pagoda]

I’m almost home

I’ll properly explain

This car is following me 😹😹

[hollow sapphire]

run bro

[left sentinel]

lemme see 1 sec

yess

thats correct

[hollow sapphire]

so og eqn is x^2-2x-3
after y=f(1/2x)
the eqn becomes x^2-4x-12

I'm so lost

[left sentinel]

🥴🥴 im not the best at explaining

if u create a new ticket and ask a maths mentor to explain they fould probs explain it better

[hollow sapphire]

nah i'm just stupid for not understanding lmao

[left sentinel]

no ur not dww about it

ur new to this anywayz ur not dumb

[hollow sapphire]

<@&791435371564892232> 🙏

[left sentinel]

i dont think they're gonna read the whole chat 😭🤣

[manic lintel]

pong

[left sentinel]

oh lollerz

[hollow sapphire]

Clarence the goat explain please

[left sentinel]

what was the question again?

[hollow sapphire]

firstly, is this correct
"so og eqn is x^2-2x-3
after y=f(1/2x)
the eqn becomes x^2-4x-12"

[warped sigil]

You're right I cba

[hollow sapphire]

HEN PLEASE

[warped sigil]

What 😭

[hollow sapphire]

IM SO CONFUSED

[left sentinel]

LMAO

[warped sigil]

Is this what you're asking

[left sentinel]

😭😭😭

[hollow sapphire]

and a few other qs...

[warped sigil]

okay fine

one sec

[hollow sapphire]

love you

[warped sigil]

no it doesn't

[manic lintel]

substitute $\frac{x}{2}$ into the original function

[warped sigil]

^ in replace of "x"

[elfin plaza]

clarence

[left sentinel]

my bad. i didnt think it did. i was going to substitute ½x into the x in the equation but i thought that was too long

[hollow sapphire]

so y=1/2x^2 - x - 3?

[warped sigil]

no, the 1/2 x has to all be squared

[manic lintel]

it's (x/2)^2

fr

[hollow sapphire]

(x^2/4)?

[left sentinel]

0.25x²-1x-3 i believe

[manic lintel]

yeh

[sour pagoda]

I at yard now

My nephew wants me to play wit him

[hollow sapphire]

and how would we describe the transformation if both y=x^2-2x-3 and 0.25x²-1x-3 were drawn

[sour pagoda]

He showed me a dinosaur n man said cat

Man I’m so lost bruh what’s happening

[hollow sapphire]

the y intercept is still (0,-3)

[manic lintel]

f(x/2) is a horizontal stretch

factor 2

[sour pagoda]

What is the f?

[manic lintel]

function

[sour pagoda]

I aint been taught it yet

Oooh we got taught functions

But not on graphs

OOOOH I GER IT NOW

so u find the equation of the line

And then use the function

So in this case you’d half the whole equation of the line?

[warped sigil]

Yeah, the topic would be called graph transformations I'm guessing if you still wanted it

[sour pagoda]

Yhh thank you

[left sentinel]

dont think u half the whole equation. u just subsitute the ½x into wherever the x is on the equation

[hollow sapphire]

So, is there a quicker way of drawing y=f(1/2x) other than multiplying each x coordinate by 2?

[sour pagoda]

Makes a lot more sense they told us about it in the task

[sour pagoda]

I see thank you brother

I get it now

[warped sigil]

No, that's what you do

[sour pagoda]

Cah cl looking at all these equations in chats confuse me

Seeing equations typed out is a mind mess

[warped sigil]

You keep the y coordinates the same then multiply all the x coordinates by 2

[hollow sapphire]

got it, last q is so ONLY the x coords are multiplied by 2 whilst the y coords stay the exact same?

[hollow sapphire]

Gotchu gotchu

[left sentinel]

yep

[sour pagoda]

Don’t u half it?

If the function is f(1/2x)?

[warped sigil]

You really only need to do it to x intercepts and the turning point

[warped sigil]

No you multiply it by 2 unfortunately

[left sentinel]

its the opposite for the x oordinates

ya

[sour pagoda]

This is too confusin mane 😹😹😹

I’ll watch a video on it

[warped sigil]

Which is annoying because ½f(x) would mean you'd have to half all the y coordinates

[hollow sapphire]

if y=x^2-2x-3 what's y=2f(x) as an equation?

[warped sigil]

Probably best

[sour pagoda]

Thank you for the help tho

[manic lintel]

Times by 2

[warped sigil]

y = 2x² - 4x - 6

[hollow sapphire]

Aren’t we squaring (2x) though😭

waiiit nvm that's y=f(2x)

Thank you

[sour pagoda]

Ooooh i get it now

Bruh my nephew is beefin me too much goin on

But I get it now

Thank you for the help ym

[warped sigil]

Np :D

[hollow sapphire]

worst topic by far

[sour pagoda]

Nah circle theorems

Esp proofing

I get angry when I see them

[hollow sapphire]

185 messages for this😭

[sour pagoda]

Bro 😹😹😹

This took a whole surgical team

Yk that clip of that kids trim got messed up

And the whole barber shop was tryna fix it

Reminds me of this

[hollow sapphire]

😭😭😭😭

[hollow sapphire]

@warped sigil LAST Q I PROMISE. How would we work out this equation of the line? I know we have (x+1)(x-3) but what about the scale factor thingy

[sour pagoda]

https://twitter.com/Boogz_/status/1064667515710631937?lang=en

Boogz (@Boogz_)

Son the whole barbershop is trying to fix lil homie haircut 😭😭😭😭😭😭

Likes

143532

Retweets

56847

▶ Play video

Twitter · Nov 19, 2018, 11:51 PM

[hollow sapphire]

Lmaoo

[vernal nymph]

Sub in the turning point coordinates into a(x+1)(x-3)

[warped sigil]

y intercept is -4

i meant turning point

[sour pagoda]

Into the X bit

?*

[vernal nymph]

a(1+1)(1-3)=-4

a would equal to 1

[warped sigil]

but y intercept is at -3, y = a(x+1)(x-3) where a * 1 * -3 = -1, so a is 1

[sour pagoda]

What is a 💀

[warped sigil]

I mean thats 2 ways of doing it

a is some constant

[hollow sapphire]

I see

Thank you both

[sour pagoda]

Where did it come from tho

Thank you aswell ym

[warped sigil]

If you want to find the equation of a quadratic you need a constant like that because many quadratics go through x = -1 and x = 3

So you have a scale factor at the front to make sure you can find the correct one

[sour pagoda]

Ooooh i get it now

[hollow sapphire]

what does the scale factor actually do?

[sour pagoda]

Kinda

[hollow sapphire]

does that determine the stretch of the graph?

[warped sigil]

multiplies everything by the scale factor

[sour pagoda]

Man my brains hurtin m my nephew keeps attacking me wit this toy dinosaur

[warped sigil]

The stretch in the y direction kinda yeah

[hollow sapphire]

Alrighty thank you for like the 4th time

Goated mentors Clarence and Hen

[sour pagoda]

Facts 🦅🦅🦅

[warped sigil]

Here's an example if needed

[hollow sapphire]

Pringle a leg aswell but he ain't a mentor

[warped sigil]

But yeah

[sour pagoda]

Cl hé should be

[warped sigil]

Thanks :D

[hollow sapphire]

so the scale factor is the y multiplier basically

[sour pagoda]

Everything multiplier

Because also gradient

Unless I’m being a goober

And I’m wrong

[hollow sapphire]

gradient of a quadratic?

is that the differentiation stuff

[sour pagoda]

Idk these key words bro

I jus know it by looking at it 😹

My math terminology is dead

[hollow sapphire]

My maths is dead

[sour pagoda]

Nah bruh it’s good

Dw

[hollow sapphire]

I love maths but hate is so much at the same time

[sour pagoda]

Jus some topics u gotta work on

[sour pagoda]

Same bro

Like

If I’m doing well I’m happy

If I don’t understand what’s happening

I become angry

And I start attacking stuff

[hollow sapphire]

It's so satisfying when you complete a big mark question

[sour pagoda]

And get it correct the first time

[hollow sapphire]

what was part b to that questionn btw

[sour pagoda]

Hol on i can get it up rq

I’m on my phone rn

I can send u the whole booklet

[hollow sapphire]

yes please

[hollow sapphire]

-3?

noo

+3

[vernal nymph]

Yes

[hollow sapphire]

Gotchu

[sour pagoda]

Think u gotta take into account the gradient from the last question

[hollow sapphire]

wdym

[sour pagoda]

Oh wait nah nvm they same size

Wouldn’t it be -3?

I think idk

[hollow sapphire]

@vernal nymph

[vernal nymph]

It’s the opposite for the x coordinates

[sour pagoda]

Ooh ok

Thank you brother

[vernal nymph]

Similar to how f(1/2x) is doubling the x coordinate

[sour pagoda]

That’s a mind mess bruh

Bro there’s a visitor in front of my door pray for me she don’t come in I beg

[hollow sapphire]

Inshallah

[hollow sapphire]

Bro no way that's year 10 work

[sour pagoda]

It is mane 😹😹

They even said in the task

They ain’t taught us it bruh

But I’m him yk

So ik it

[hollow sapphire]

nah idc

it ain't

[sour pagoda]

Nah I’m jokin

Idk what to tell u bruh it is 😹😹

[hollow sapphire]

doing that shit in AS

[sour pagoda]

I jus finished year 10 Tbf

U bein fR 💀💀

[hollow sapphire]

Graph transformation is a Year 12 topic

[sour pagoda]

Bwamba these teachers takin the piss then

Man can’t wait till I finish gcsee

Nah but do u do circle theorems

In a level

[hollow sapphire]

No

[sour pagoda]

Alhamdullilah bro

[hollow sapphire]

Not in AS at least idk about year 2

[sour pagoda]

Nah if they do that’s depressing

[left sentinel]

really? i did it at gcse

[hollow sapphire]

I didn't😭

It wasn't in FM either

[left sentinel]

what exam board do u do

[hollow sapphire]

IGCSE edexcel

[left sentinel]

whats fm?

oh

[hollow sapphire]

further maths

[sour pagoda]

I’m doing thatvbruh

Fym

[left sentinel]

i do edexcel not the igcse one

[sour pagoda]

I do igcse edexcel 💀💀

[left sentinel]

i remember one question that caem up in a past paper w graph transofmration and we had to write down the trasnformation

for gcse

[sour pagoda]

That’s king

Long

[hollow sapphire]

I do not remember doing graph transformations at gcse at all

maybe we did

[sour pagoda]

Does anyone have the last gcsee exam question for math

Apparently it was some optagon or sutti

Or like some hexagon n everyone was bugging out over it

[sour pagoda]

Bro had early onset dementia

[left sentinel]

idk what last question ur talking about. for the gcse this year?

[sour pagoda]

Idk if it was a last question

This year yh

[left sentinel]

oh i didnt do gcse this yr. im going into yr 13 in september

[sour pagoda]

But like it was a optagon or suttin a polygon

Oh cold good luck my brother

[left sentinel]

aha thanks man

[sour pagoda]

Nah I’m joking

[left sentinel]

😭 lol

[vernal nymph]

You did have to know it for IGCSE

[sour pagoda]

Man’s evolved to year 13

[vernal nymph]

Lol

[left sentinel]

someone said that to me when i did my chem exam when i asked to see the notes they were holding in their hands. then the next chem test they asked me a question and i was so aggressive and said im praying on YOUR downfall now

#traumatising

[sour pagoda]

💀💀💀

Mandem really be some professional haters bruh

Hol on

My cat Locked herself in the toilet

[left sentinel]

oh 😄

[sour pagoda]

She was stretching against the door she does it a lot

She wants me to go down