How does the graph of #g(x)=x-3# compare to #f(x) =x#?

1 Answer
Jun 11, 2017

The graph of g(x) is graph of f(x) shifted 3 units positive on the #x-#axis.

Explanation:

#g(x) = x-3#
#f(x) = x#

Hence #g(x) = f(x+3)#

The graph of g(x) is graph of f(x) shifted 3 units positive - to the right.

This can be seen on the graph of #g(x) # below.

graph{x-3 [-10, 10, -5, 5]}