Questions: Given the graph of y=f(x) shown below, what is the graph of y=f(-x)?

Given the graph of y=f(x) shown below, what is the graph of y=f(-x)?
Transcript text: Given the graph of $y=f(x)$ shown below, what is the graph of $y=f(-x)$ ?
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem asks for the graph of \( y = f(-x) \) given the graph of \( y = f(x) \).

Step 2: Identify the Transformation

The transformation \( y = f(-x) \) represents a reflection of the graph of \( y = f(x) \) about the y-axis.

Step 3: Apply the Transformation

Reflect the given graph of \( y = f(x) \) about the y-axis. This means that for every point \((x, y)\) on the graph of \( y = f(x) \), there will be a corresponding point \((-x, y)\) on the graph of \( y = f(-x) \).

Final Answer

The correct graph is the one that shows the reflection of the given graph about the y-axis. This is the second graph shown in the options.

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