The graphs of *f* and *g* are given. Find a formula for the function *g*. g shifted right 5 units

*g*(*x*) =

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.

The graphs of f and g are given. Find a formula for the function g. g shifted right 5 units. g(x) =

Discover how to find the function g(x) when it is horizontally shifted to the right by 5 units from f(x). This detailed guide covers function transformations, focusing on horizontal shifts. Ideal for high school students learning function graphing and transformations.

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