f(x)=4x+1; translation 2 units right

Question

Write a function g whose graph represents the indicated transformation of the graph of f. Show your work for creating each new function

Answer 1

To translate f(x) two units to the right, replace x with x-2 in f(x). If it was two units to the left, replace x with x+2.

Two units to the right:

g(x) = f(x-2) = 4(x - 2) + 1