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

Question

Describe the transformation to f (x) to obtain g (x)

Answer 1

First, translate the graph of y = f(x) three units to the right to obtain the graph of y = f(x-3).

 

Then translate the graph of y = f(x-3) four units upward to obtain the graph of y = f(x-3) + 4.

Answer 2

First you plug (x-3) into the function of f, then you add 4 to the new function you just got. That will be g(x).