Login

Welcome, Guest. Please login or register.

October 22, 2025, 12:43:24 pm

Author Topic: Absolute value graphs  (Read 3558 times)  Share 

0 Members and 1 Guest are viewing this topic.

Romperait

  • Victorian
  • Forum Leader
  • ****
  • Posts: 511
  • Respect: +51
  • School Grad Year: 2011
Re: Absolute value graphs
« Reply #15 on: December 24, 2010, 10:24:00 pm »
0
I don't think you need to know transformations for modulusy graphs. In fact, I don't think you can really define a transformation for a mod graph really...

transformation of mod function is clearly stated in vcaa study design

aww, what's the exact wording?

I've just never seen a question asking for transformations of a mod graph before, hence my statement.

I guess it doesent work the same way as it does in general for all other functions and relations though.

Same situation here. I did not see one question where you needed to state the transformations of a modulus function.

kamil9876

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1943
  • Respect: +109
Re: Absolute value graphs
« Reply #16 on: December 24, 2010, 11:04:29 pm »
0
Just because you havn't seen an exact question on something before, doesn't mean it cannot be assessed. Learning math is not about learning how to do every possible question individually, but rather to understand the concept well enough to be flexible with it and apply it in various situations. In the case of transformations, what you (should) have learnt is very general and you can be applied to all sorts of weird functions.
Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

itolduso

  • Victorian
  • Trendsetter
  • **
  • Posts: 146
  • Respect: +1
Re: Absolute value graphs
« Reply #17 on: December 24, 2010, 11:07:31 pm »
0
I don't think you need to know transformations for modulusy graphs. In fact, I don't think you can really define a transformation for a mod graph really...

transformation of mod function is clearly stated in vcaa study design

aww, what's the exact wording?

I've just never seen a question asking for transformations of a mod graph before, hence my statement.

I guess it doesent work the same way as it does in general for all other functions and relations though.

Same situation here. I did not see one question where you needed to state the transformations of a modulus function.

there were many questions in sketching graphs based on transformation of |x|, |f(x)|
look up vcaa study design for exact wording

taiga

  • Honorary Moderator
  • ATAR Notes Legend
  • *******
  • Posts: 4085
  • Respect: +588
Re: Absolute value graphs
« Reply #18 on: December 24, 2010, 11:10:58 pm »
0
I don't think you need to know transformations for modulusy graphs. In fact, I don't think you can really define a transformation for a mod graph really...

transformation of mod function is clearly stated in vcaa study design

aww, what's the exact wording?

I've just never seen a question asking for transformations of a mod graph before, hence my statement.

I guess it doesent work the same way as it does in general for all other functions and relations though.

Same situation here. I did not see one question where you needed to state the transformations of a modulus function.

there were many questions in sketching graphs based on transformation of |x|, |f(x)|
look up vcaa study design for exact wording

I thought you would be familiar with the wording given you said it is clearly stated.

Well of course there is sketching of mod graphs. I wouldn't say sketching a mod graph is based on transformations. It's generally drawing the original graph and flipping everything above the imaginary axis.
vce: english, methods, spesh, chemistry, physics, geography.

ex admin/mod/partner

2010: Melbourne High School (VCE)
2011 - 2016: Monash University BComm/BEng (Hons)


If you guys have any concerns/suggestions for making ATARNotes a better place, don't hesitate to PM me.

Romperait

  • Victorian
  • Forum Leader
  • ****
  • Posts: 511
  • Respect: +51
  • School Grad Year: 2011
Re: Absolute value graphs
« Reply #19 on: December 24, 2010, 11:16:58 pm »
0
When I think transformations, I see matrices and the need to list them in order from a particular function.

For sketching graphs...if you're unsure of them, don't you just graph the function inside then "modulus" everything? :P

itolduso

  • Victorian
  • Trendsetter
  • **
  • Posts: 146
  • Respect: +1
Re: Absolute value graphs
« Reply #20 on: December 24, 2010, 11:32:10 pm »
0
I don't think you need to know transformations for modulusy graphs. In fact, I don't think you can really define a transformation for a mod graph really...

transformation of mod function is clearly stated in vcaa study design

aww, what's the exact wording?

I've just never seen a question asking for transformations of a mod graph before, hence my statement.

I guess it doesent work the same way as it does in general for all other functions and relations though.

Same situation here. I did not see one question where you needed to state the transformations of a modulus function.

there were many questions in sketching graphs based on transformation of |x|, |f(x)|
look up vcaa study design for exact wording

I thought you would be familiar with the wording given you said it is clearly stated.

Well of course there is sketching of mod graphs. I wouldn't say sketching a mod graph is based on transformations. It's generally drawing the original graph and flipping everything above the imaginary axis.


imaginary axis?

 
Now draw the original graph and flipping everything above the imaginary axis, just like the way you suggested for y=2-5|sin(0.5x)|

taiga

  • Honorary Moderator
  • ATAR Notes Legend
  • *******
  • Posts: 4085
  • Respect: +588
Re: Absolute value graphs
« Reply #21 on: December 24, 2010, 11:35:57 pm »
0
I don't think you need to know transformations for modulusy graphs. In fact, I don't think you can really define a transformation for a mod graph really...

transformation of mod function is clearly stated in vcaa study design

aww, what's the exact wording?

I've just never seen a question asking for transformations of a mod graph before, hence my statement.

I guess it doesent work the same way as it does in general for all other functions and relations though.

Same situation here. I did not see one question where you needed to state the transformations of a modulus function.

there were many questions in sketching graphs based on transformation of |x|, |f(x)|
look up vcaa study design for exact wording

I thought you would be familiar with the wording given you said it is clearly stated.

Well of course there is sketching of mod graphs. I wouldn't say sketching a mod graph is based on transformations. It's generally drawing the original graph and flipping everything above the imaginary axis.


imaginary axis?

 
Now draw the original graph and flipping everything above the imaginary axis, just like the way you suggested for y=2-5|sin(0.5x)|

Yes, that is why I didn't state the x-axis.

The imaginary axis in this case being y=2
And then just multiplying everything out by 5.

It works.

My original statement was that you rarely(never) have an exam where you are asked to state the transformation of a mod graph. You've diverted into the drawing of mod graphs. Whilst transformations are an intrinsic part of drawing graphs, it is rare that in an exam scenario that you are required to deal with mod graphs, and discuss the transformations (nor the graph you just mentioned)
« Last Edit: December 24, 2010, 11:40:17 pm by taiga »
vce: english, methods, spesh, chemistry, physics, geography.

ex admin/mod/partner

2010: Melbourne High School (VCE)
2011 - 2016: Monash University BComm/BEng (Hons)


If you guys have any concerns/suggestions for making ATARNotes a better place, don't hesitate to PM me.

itolduso

  • Victorian
  • Trendsetter
  • **
  • Posts: 146
  • Respect: +1
Re: Absolute value graphs
« Reply #22 on: December 24, 2010, 11:37:35 pm »
0
The exact wording:
transformation from y=f(x) to y=Af(n(x+b))+c, etc f is one of the functions specified above (that include the mod function)

itolduso

  • Victorian
  • Trendsetter
  • **
  • Posts: 146
  • Respect: +1
Re: Absolute value graphs
« Reply #23 on: December 24, 2010, 11:42:28 pm »
0
I don't think you need to know transformations for modulusy graphs. In fact, I don't think you can really define a transformation for a mod graph really...

transformation of mod function is clearly stated in vcaa study design

aww, what's the exact wording?

I've just never seen a question asking for transformations of a mod graph before, hence my statement.

I guess it doesent work the same way as it does in general for all other functions and relations though.

Same situation here. I did not see one question where you needed to state the transformations of a modulus function.

there were many questions in sketching graphs based on transformation of |x|, |f(x)|
look up vcaa study design for exact wording

I thought you would be familiar with the wording given you said it is clearly stated.

Well of course there is sketching of mod graphs. I wouldn't say sketching a mod graph is based on transformations. It's generally drawing the original graph and flipping everything above the imaginary axis.


imaginary axis?

 
Now draw the original graph and flipping everything above the imaginary axis, just like the way you suggested for y=2-5|sin(0.5x)|

Yes, that is why I didn't state the x-axis.

The imaginary axis in this case being y=2
And then just multiplying everything out by 5.

It works

Very good
so you sketched it by transformations: translation and dilation
by the way you missed reflection in the 'imaginary axis'

taiga

  • Honorary Moderator
  • ATAR Notes Legend
  • *******
  • Posts: 4085
  • Respect: +588
Re: Absolute value graphs
« Reply #24 on: December 24, 2010, 11:46:58 pm »
0
It doesent actually reflect the function in the imaginary axis, think about it.

All the transformations and dilations mentioned can be done before the "modding" as well.

I think what can be taken out of your argument: you need to be able to draw graphs and mod graphs

I still hold that I've never seen the need to state tranformations for a mod graph
vce: english, methods, spesh, chemistry, physics, geography.

ex admin/mod/partner

2010: Melbourne High School (VCE)
2011 - 2016: Monash University BComm/BEng (Hons)


If you guys have any concerns/suggestions for making ATARNotes a better place, don't hesitate to PM me.

itolduso

  • Victorian
  • Trendsetter
  • **
  • Posts: 146
  • Respect: +1
Re: Absolute value graphs
« Reply #25 on: December 24, 2010, 11:51:28 pm »
0
It doesent actually reflect the function in the imaginary axis, think about it.

All the transformations and dilations mentioned can be done before the "modding" as well.

I think what can be taken out of your argument: you need to be able to draw graphs and mod graphs

I still hold that I've never seen the need to state tranformations for a mod graph

It does reflect.
No, you cannot do those transformations before the "modding"

taiga

  • Honorary Moderator
  • ATAR Notes Legend
  • *******
  • Posts: 4085
  • Respect: +588
Re: Absolute value graphs
« Reply #26 on: December 24, 2010, 11:52:40 pm »
0
I'll let you keep thinking about it
vce: english, methods, spesh, chemistry, physics, geography.

ex admin/mod/partner

2010: Melbourne High School (VCE)
2011 - 2016: Monash University BComm/BEng (Hons)


If you guys have any concerns/suggestions for making ATARNotes a better place, don't hesitate to PM me.

itolduso

  • Victorian
  • Trendsetter
  • **
  • Posts: 146
  • Respect: +1
Re: Absolute value graphs
« Reply #27 on: December 24, 2010, 11:54:57 pm »
0
sketch the two graphs, one before and one after mod, and see the difference

taiga

  • Honorary Moderator
  • ATAR Notes Legend
  • *******
  • Posts: 4085
  • Respect: +588
Re: Absolute value graphs
« Reply #28 on: December 25, 2010, 01:07:43 am »
0
You're thinking of the word "reflect" in the way a 5 year old would, not how you are supposed to in methods.

Draw y=sin(x)

then y=|sin(x)|

that's not a reflection.

Anyway, I'm going to lock this on the basis of the OP's question being answered :)
vce: english, methods, spesh, chemistry, physics, geography.

ex admin/mod/partner

2010: Melbourne High School (VCE)
2011 - 2016: Monash University BComm/BEng (Hons)


If you guys have any concerns/suggestions for making ATARNotes a better place, don't hesitate to PM me.