The function $g(x)$ is described as being shifted right by 5 units from the function $f(x)$. A horizontal shift to the right by 5 units is represented by adjusting the input variable $x$ in the following way:

$g(x) = f(x - 5)$

This means that the function $g(x)$ is simply the function $f(x)$, but evaluated 5 units to the right along the x-axis.

Key takeaway:

• To shift a function horizontally to the right, subtract the number of units from $x$ inside the function.

Do you have any specific details about $f(x)$, or would you like a more detailed explanation of transformations?

Here are 5 related questions for deeper exploration:

1. What happens if the function is shifted left instead of right?
2. How do vertical shifts differ from horizontal shifts in functions?
3. What effect does multiplying a function by a constant have?
4. Can you combine horizontal and vertical shifts in a single transformation?
5. How would you reflect a function over the x-axis or y-axis?

Tip: To shift a graph left or right, modify the input variable inside the function as $f(x - c)$ for right and $f(x + c)$ for left.