Questions: 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 $y=f(-x)$ ?

Solution

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

Solution

Solution Steps

Final Answer

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