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It looks like you're working on a problem involving graphing a function \( y = f(-x) \) and comparing it to the given options. The task is likely asking you to sketch the reflection of the graph of \( y = f(x) \) over the y-axis, since \( y = f(-x) \) reflects the graph horizontally.

Here's how to proceed:

1. The graph \( y = f(-x) \) is a horizontal reflection of \( y = f(x) \). This means that for each point \( (x, y) \) on the graph of \( f(x) \), the corresponding point on \( f(-x) \) will be \( (-x, y) \).
   
2. Compare this reflected graph with the provided options. Look for a graph that matches the reflection of the given graph.

If you need further explanation or help choosing the correct graph, feel free to ask!

Do you want details on how to reflect graphs, or should I guide you through identifying the correct graph option?

Here are five related questions that may deepen your understanding:
1. What is the difference between reflecting over the x-axis and the y-axis?
2. How would the graph of \( y = -f(x) \) compare to \( y = f(-x) \)?
3. What changes when applying transformations like translations and stretches to a function?
4. How do odd and even functions behave under reflections?
5. Can multiple transformations (like reflections and translations) be combined? How do they affect the graph?

**Tip:** Always plot key points like intercepts and peaks to guide reflections or transformations of graphs.

On a separate piece of paper, sketch an accurate graph of the function y = f(-x). Which (if any) of the graphs below matches the graph you draw?

Understand how to reflect a function graph over the y-axis using y = f(-x). Learn to identify the correct graph that matches this transformation with step-by-step guidance. Suitable for high school students in Grades 10-12.

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