Looking at the graph, you're asking about a horizontal stretch of the parent function. In this context, the "parent function" typically refers to a basic absolute value function, which has a V-shape. A horizontal stretch occurs when the graph becomes "wider," meaning the x-values are scaled, but the y-values remain unchanged.

For a horizontal stretch, we are looking for a graph where the V-shape is stretched horizontally compared to the parent function.

Here's how you can identify the correct graph:

• The first graph shows the parent function without any stretch.
• The second graph shows a narrow version of the V-shape (this is a compression, not a stretch).
• The third graph shows a wider V-shape compared to the parent function. This is the correct example of a horizontal stretch.

Therefore, the third graph represents a horizontal stretch of the parent function.

Let me know if you'd like further details or have any questions!

Here are 5 related questions to explore further:

1. How do horizontal and vertical stretches differ in graph transformations?
2. What is the effect of a factor greater than 1 on a function’s graph?
3. How do you represent a horizontal stretch mathematically using function notation?
4. How would the graph change with a horizontal compression of the parent function?
5. What are some other types of transformations of the absolute value function?

Tip: To apply transformations effectively, remember that horizontal changes are typically reflected by modifying the x-values, whereas vertical transformations affect the y-values.