Answer:
Vertical compression implies that you multiply the function by a scalar or constant.
---> (1/3)*f(x)
Translating up means you are adding to the y-value or shifting the graph up.
----> f(x) + 2
Put it together and you get:
g(x)=1/3f(x)+2
Now replace f(x) with 6x
g(x)=1/3(6x)+2=2x+2
Or
given: f(x)=6x
transformations: vertical compression of 1/3, translation of 2 units up.
g(x) = 1/3 f (x)
remember: f(x) = 6x
6/3 = 2
so, g(x) = 2(x)
now add 2 since you are transitioning up
your answer is: g(x) = 2(x)+2
