https://file.aiquickdraw.com/mathbot/file/1729865581209wqx4esa9.jpg

The problem asks for the equation of \( g(x) \) when the function \( f(x) \) is shifted 5 units to the right. A horizontal shift to the right by \( c \) units is represented by replacing \( x \) with \( x - c \) in the function's equation. Therefore, shifting \( f(x) \) to the right by 5 units gives:

\[
g(x) = f(x - 5)
\]

Thus, the correct answer is:

\[
g(x) = f(x - 5)
\]

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How do you shift a function horizontally to the left?
2. What happens if you shift a function vertically instead of horizontally?
3. How do you apply a vertical shift to a function?
4. How do multiple transformations (e.g., horizontal and vertical shifts) affect the function?
5. What is the difference between horizontal and vertical stretching of a function?

**Tip:** Shifting functions horizontally involves changing the input (inside the function), while vertical shifts affect the output (outside the function).

A function, f(x), is shifted horizontally to the right 5 units on a coordinate plane and maps to g(x). What is the equation for g(x)?

Learn how to shift a function horizontally by 5 units to the right. This example demonstrates the transformation of f(x) to g(x) with a detailed solution, covering core algebraic concepts and the formula for horizontal shifts. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation