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

Answer:

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]}