Problem

Let $f(x)=x^{2}$
If $g(x)$ is the graph of $f(x)$ shifted right 4 units, write a formula for $g(x)$

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The formula for \(g(x)\) is \(\boxed{(x-4)^{2}}\).

Steps

Step 1 :Let \(f(x)=x^{2}\)

Step 2 :If \(g(x)\) is the graph of \(f(x)\) shifted right 4 units, write a formula for \(g(x)\)

Step 3 :The graph of a function \(f(x)\) shifted right by \(a\) units is given by \(f(x-a)\). In this case, \(a=4\), so the function \(g(x)\) should be \(f(x-4)\).

Step 4 :Final Answer: The formula for \(g(x)\) is \(\boxed{(x-4)^{2}}\).

link_gpt