Absolute value graphs

[pi]

How much are they relevant to 3+4?

How much do we need to know?

[taiga]

Very relevant.

Remember that you cant differentiate them at the cusp.

[TrueTears]

pop up all da time best to get to know them

[pi]

Very relevant.

Remember that you cant differentiate them at the cusp.

Thanks

But does that mean we need to know about signum functions as well?

[TrueTears]

it's just a definition, nothing to "know" about them besides the definition i guess, from memory they aren't in methods.

[pi]

One more question. In the form f(x) = a|bx-c| + d, what does the 'b' do to the graph (and how would I describe it in words)? I know 'd' and 'c' move it around (translate it I guess) and 'a' dilates it, but 'b'?

[Andiio]

b = dilation from the y axis

[taiga]

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...

[pi]

b = dilation from the y axis

Okay, because y=|2x+4| would be y=|2(x+2)|

I think the moving 'endpoint' was confusing me a bit.

[TrueTears]

One more question. In the form f(x) = a|bx-c| + d, what does the 'b' do to the graph (and how would I describe it in words)? I know 'd' and 'c' move it around (translate it I guess) and 'a' dilates it, but 'b'?

compare it yourself, derive from y = |x| and use mapping method, never memorise what the letters do.

the start should look like this

y'= a|bx'-c|+d

rearrange to (y'-d)/a=|bx'-c|

and now compare to y =|x|

[Andiio]

One more question. In the form f(x) = a|bx-c| + d, what does the 'b' do to the graph (and how would I describe it in words)? I know 'd' and 'c' move it around (translate it I guess) and 'a' dilates it, but 'b'?

compare it yourself, derive from y = |x| and use mapping method, never memorise what the letters do.

Yep, try subbing P(1,1) and see what everything does.

[TrueTears]

One more question. In the form f(x) = a|bx-c| + d, what does the 'b' do to the graph (and how would I describe it in words)? I know 'd' and 'c' move it around (translate it I guess) and 'a' dilates it, but 'b'?

compare it yourself, derive from y = |x| and use mapping method, never memorise what the letters do.

Yep, try subbing P(1,1) and see what everything does.

haha i didn't meant subbing in numbers that's too primitive, just do it algebraically

[itolduso]

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

[taiga]

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.

[itolduso]

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.

for all functions and relations