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]}