Questions: Question 18 Which of the following is true of the graph y=f(-x) ? (A) y=f(-x) shifts the graph of f(x) one unit down. (B) y=f(-x) flips the graph of f(x) left to right. (C) y=f(-x) flips the graph of f(x) upside down. (D) y=f(-x) shifts the graph of f(x) one unit left.

Question 18 Which of the following is true of the graph y=f(-x) ? (A) y=f(-x) shifts the graph of f(x) one unit down. (B) y=f(-x) flips the graph of f(x) left to right. (C) y=f(-x) flips the graph of f(x) upside down. (D) y=f(-x) shifts the graph of f(x) one unit left.
Transcript text: Question 18 Which of the following is true of the graph $y=f(-x)$ ? (A) $y=f(-x)$ shifts the graph of $f(x)$ one unit down. B $y=f(-x)$ flips the graph of $f(x)$ left to right. (C) $y=f(-x)$ flips the graph of $f(x)$ upside down. (D) $y=f(-x)$ shifts the graph of $f(x)$ one unit left.
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Solution

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Solution Steps

To determine the effect of the transformation \( y = f(-x) \) on the graph of \( y = f(x) \), we need to understand how replacing \( x \) with \( -x \) affects the graph. This transformation reflects the graph across the y-axis.

Step 1: Understanding the Transformation \( y = f(-x) \)

To determine the effect of the transformation \( y = f(-x) \) on the graph of \( y = f(x) \), we need to analyze how replacing \( x \) with \( -x \) affects the graph.

Step 2: Analyzing the Reflection

The transformation \( y = f(-x) \) reflects the graph of \( y = f(x) \) across the y-axis. This means that every point \((x, y)\) on the graph of \( y = f(x) \) will be transformed to \((-x, y)\) on the graph of \( y = f(-x) \).

Final Answer

The correct answer is \( \boxed{\text{B}} \).

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