ATAR Notes: Forum

VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: spudman on November 06, 2008, 06:08:11 pm

Title: Help with dilations!!
Post by: spudman on November 06, 2008, 06:08:11 pm
I know its really basic..
I am unable to come to grips with how dilation rules work.
How do u apply say a dilation parrallel to the x-axis by factor 3 vs dilation parralel to y-axis by factor 3 say to y=x^2 and y=1/x^2
Thanks alot  :D
Title: Re: Help with dilations!!
Post by: Mao on November 06, 2008, 06:13:15 pm
parallel to x by a factor of 3:

parallel to y by a factor of 3:
Title: Re: Help with dilations!!
Post by: methodsboy on November 06, 2008, 06:15:23 pm
ok ill do an example.
the graph of y=x^2 is goes through the following transformation:

Dilation factor of 3 in x -axis: ---> y= 3x^2
Dilation factor of 1/3 in y -axis: ---> y= (3x)^2 to become 9x^2

sorry guys...i fixed it just now :)
Title: Re: Help with dilations!!
Post by: Lulu on November 06, 2008, 06:19:31 pm
ok ill do an example.
the graph of y=x^2 is goes through the following transformation:

Dilation factor of 3 in x -axis: ---> y= 3x^2
Dilation factor of 1/3 in y -axis: ---> y= (3x)^2 to become 6x^2

err is this correct? i'm sort of confused now lol
Title: Re: Help with dilations!!
Post by: spudman on November 06, 2008, 06:29:12 pm
in the y-axis=parallel to x-axis?
Title: Re: Help with dilations!!
Post by: Mao on November 06, 2008, 06:33:25 pm
Title: Re: Help with dilations!!
Post by: kurrymuncher on November 06, 2008, 06:35:50 pm
Also,  For translations, would it be better to write:

Shifted +4 units along the X axis

or like

Shifted 4 units in the positive direction of the X axis.

Is there a big difference.   Thanks :)
Title: Re: Help with dilations!!
Post by: dekoyl on November 06, 2008, 06:38:57 pm
^Either is fine.
Title: Re: Help with dilations!!
Post by: Lulu on November 06, 2008, 07:24:43 pm
Anyone able to help me out with these 2 questions?

State the transformations applied from g(x) to f(x):

(http://img503.imageshack.us/img503/8877/questionsbx3.png)

For both I had a reflection in the y-axis, but the answer says there is no reflection  :o
Title: Re: Help with dilations!!
Post by: Mao on November 06, 2008, 07:58:13 pm




both are evenly symmetrical functions, hence reflecting in this sense doesn't really do anything.
Title: Re: Help with dilations!!
Post by: Lulu on November 06, 2008, 07:59:12 pm
ugh haha how didn't i pick that up?!

thanks again mao
Title: Re: Help with dilations!!
Post by: trinon on November 06, 2008, 08:14:52 pm

Epic reply.