Given f(x)=3^(x-2) and g(x)=f(3x)+4, write the function rule for function g and describe the types of transformations that occur between function f and function g. See attached …

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asked Jun 28, 2020 107k views

1 Answer

Schmalls · Answer 1 · 2020-07-04T20:25:21+0000

Answer with Step-by-step explanation:

We are given that

f(x)=3^(x-2)

g(x)=f(3x)+4

We have to write the rule for function g and describe the transformation between f and g.

Compress the function by scale factor 3 and the translation rule is given by

$(x,y)\rightarrow (3x,y)$

Then, we get
h(x)=f(3x)=3^(3x-2)

Now, shift the y coordinate 4 units above the origin.

Then, the translation rule is given by

$(x,y)\rightarrow (x,y+4)$

Then , we get