Question

The graph of f(x) is shown in black.Write an equation in terms of f(x) to match the red graph.

Answer 1

we have

f(x)

In this problem we have a translation of the black graph to the red graph

The translation has the following rule

(x,y) ------> (x+5,y)

the translation is 5 units at right

therefore

g(x)=f(x+5)

answer is

f(x+5)