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.

Solution

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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