Let f(x)=6x. The graph of f(x) is transformed into the graph of g(x) by a vertical compression of 1/3 and a translation of 2 units up.

What is an equation for g(x)?

Question

Let  f(x)=6x. The graph of f(x) is transformed into the graph of g(x) by a vertical compression of 1/3 and a translation of 2 units up.

What is an equation for  g(x)?

3mar · Answer

May I help?

mysticfury · Answer

i would be glad if you did :)

3mar · Answer

That is with my pleasure, brother!


I think this would help you.

mysticfury · Answer

Yes i actually already wrote those down. now i got 
$$\frac{ 1 }{ 3 }g(x) = 6x + 2$$
for my answer, but i dont believe its right

mysticfury · Answer

are you there mr. 3mar?

3mar · Answer

Yes.

It would be
$$g(x)=\frac{ 1 }{ 3 }f(x)+2$$

mysticfury · Answer

okay thank you. can you help with one more?

3mar · Answer

Are you persuaded about that firstly?

mysticfury · Answer

yeah i believe i understand that one now. it said f(x) is transformed into g(x) thats why you would add it in there. but why do we not add the 6 in there anyway? is it just not important?

mysticfury · Answer

@3mar

3mar · Answer

It is important!

6 is not added! Just the function is transferred two steps up.
That means g(x) is above f(x) 2 steps up, not 6

3mar · Answer

https://www.desmos.com/calculator/ff9s4a9yrx to be more sure