Here's the graph of \( f(x) + 3 = |x| + 3 \). As you can see, the graph represents the absolute value function shifted upwards by 3 units.

Would you like further details or have any questions?

Here are five related questions to explore further:

1. How does shifting affect the graph of an absolute value function?
2. What would happen if we subtract 3 from both sides instead of adding 3?
3. How does the graph of \( f(x) = |x| \) change if we add a constant inside the absolute value?
4. What are some properties of the absolute value function?
5. How can we express this function in piecewise form?

**Tip:** Shifting a graph vertically involves adding or subtracting a constant from the entire function, moving it up or down without affecting its shape.

Explore how to graph the equation f(x) + 3 = |x| + 3, demonstrating a vertical shift of the absolute value function. This lesson covers key concepts in algebra, graph transformations, and the properties of absolute value functions. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation