Help with dilations!!

[spudman]

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 

[Mao]

parallel to x by a factor of 3:

parallel to y by a factor of 3:

[methodsboy]

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

[Lulu]

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

[spudman]

in the y-axis=parallel to x-axis?

[Mao]

[kurrymuncher]

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

[dekoyl]

^Either is fine.

[Lulu]

Anyone able to help me out with these 2 questions?

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



For both I had a reflection in the y-axis, but the answer says there is no reflection 

[Mao]

both are evenly symmetrical functions, hence reflecting in this sense doesn't really do anything.

[Lulu]

ugh haha how didn't i pick that up?!

thanks again mao

[trinon]

Epic reply.