[otrivine]

hi i am getting confused with this reflecting y-axis and x-axis ?
when would we reflect or not reflect the y or x axis thanks like in modulus/

[TenOfThem]

Do you know what modulus does/means

[otrivine]

(Original post by TenOfThem)
Do you know what modulus does/means

yes so its like i know how to solve the equations which is one with normally but the other is where you can change the sign

[raheem94]

(Original post by otrivine)
yes so its like i know how to solve the equations which is one with normally but the other is where you can change the sign

You have to look at the graph, see which part intersects with the other line, i.e is it

[otrivine]

(Original post by raheem94)
You have to look at the graph, see which part intersects with the other line, i.e is it

hi how are you so like when you have the two lines outside and one inside like with x i mean for example |f(x)| and f|x| ?

[raheem94]

(Original post by otrivine)
hi how are you so like when you have the two lines outside and one inside like with x i mean for example |f(x)| and f|x| ?

I am good, what about you?

I will recommend you to watch some videos relating to this topic, they will be better for your understanding.

Go to this link.

[99llewellyn99]

ill reflect the following graph


if the whole equation is in between the modulus lines like |x³+5x²+3x+2| (not the actual equation but an example) then reflect the part that goes below the x-axis in the x-axis like i have shown below


if part of theequation is between the modulus lines for example |x³|+5x²+|3x|+2 then draw the graph normally as you would but reflect everything on the right of the y-axis on to the left of the y-axis like below

[TenOfThem]

(Original post by 99llewellyn99)

if part of theequation is between the modulus lines for example |x³|+5x²+|3x|+2 then draw the graph normally as you would but reflect everything on the right of the y-axis on to the left of the y-axis like below

Are you sure about this response?

[raheem94]

(Original post by TenOfThem)
Are you sure about this response?

It should have been

(Original post by 99llewellyn99)
ill reflect the following graph


if the whole equation is in between the modulus lines like |x³+5x²+3x+2| (not the actual equation but an example) then reflect the part that goes below the x-axis in the x-axis like i have shown below


if part of theequation is between the modulus lines for example |x³|+5x²+|3x|+2 then draw the graph normally as you would but reflect everything on the right of the y-axis on to the left of the y-axis like below

Look above.

[99llewellyn99]

Definitly been doin it all year and never got it wrong


This was posted from The Student Room's iPhone/iPad App

[TenOfThem]

(Original post by raheem94)
It should have been

Indeed

[TenOfThem]

(Original post by 99llewellyn99)
Definitly been doin it all year and never got it wrong


This was posted from The Student Room's iPhone/iPad App

I doubt that

|x|^3 + x^2 + |x| is not a straightforward transformation of x^3 + x^2 + x

and

|x^3| + x^2 + |x| isn't either

[99llewellyn99]

Oh sorry mut have forgotten about that well I did say tht it wuz not the exact equation wuz jus tryin to say tht thts wht u shld do if part of the equation is between the modulus


This was posted from The Student Room's iPhone/iPad App

[raheem94]

(Original post by TenOfThem)
I doubt that

|x|^3 + x^2 + |x| is not a straightforward transformation of x^3 + x^2 + x

and

|x^3| + x^2 + |x| isn't either

The correct way to write will be

But i don't see any difference that will be caused by , both will be same.

Though i even can't understand why he didn't put the modulus sign on the .

[99llewellyn99]

(Original post by raheem94)

Though i even can't understand why he didn't put the modulus sign on the .

i jus forgot about it

[raheem94]

(Original post by TenOfThem)
I doubt that

|x|^3 + x^2 + |x| is not a straightforward transformation of x^3 + x^2 + x

and

|x^3| + x^2 + |x| isn't either

It is a straightforward transformation. will always be positive So even without the modulus sign it should give the graph

[Basil Brush]

(Original post by 99llewellyn99)
ill reflect the following graph


if the whole equation is in between the modulus lines like |x³+5x²+3x+2| (not the actual equation but an example) then reflect the part that goes below the x-axis in the x-axis like i have shown below


if part of theequation is between the modulus lines for example |x³|+5x²+|3x|+2 then draw the graph normally as you would but reflect everything on the right of the y-axis on to the left of the y-axis like below

Could you please explain the third one? Why is the left a mirror image of the RHS?

[raheem94]

(Original post by 99llewellyn99)
i jus forgot about it

No worries

[99llewellyn99]

(Original post by Basil Brush)
Could you please explain the third one? Why is the left a mirror image of the RHS?

well its jus a reflection i dont know why it happens but it just does when part of the equation is between modulus lines

[raheem94]

(Original post by 99llewellyn99)
well its jus a reflection i dont know why it happens but it just does when part of the equation is between modulus lines

Modulus makes the value positive.

So if we have

At ,

At ,

Though if we take the modulus,

At ,

At ,

So both values are the same.

So by taking the modulus, the the negative will give the same coordinate as the positive value.

Does it makes sense?