Question

HELP ASAP
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 the equation for g(x)?




Enter your answer in the box.


g(x)=

Answer 1

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