Questions: Given the graph of y=g(x) in the figure, sketch the graph of each function and describe how it is obtained from the graph of y=g(x) a) y=p(-x) b) y=9(x-2) c) y=-9(x) d) y=-g(x)+2 a) Choose the correct graph of y=g(-x) below A. B. C. D. Choose the correct answer below A. The graph of g(x) is translated 1 unit to the right B. The graph of g(x) is reflected across the x-axis C. The graph of g(x) is reflected across the y-axis

Given the graph of y=g(x) in the figure, sketch the graph of each function and describe how it is obtained from the graph of y=g(x) a) y=p(-x) b) y=9(x-2) c) y=-9(x) d) y=-g(x)+2 a) Choose the correct graph of y=g(-x) below A. B. C. D. Choose the correct answer below A. The graph of g(x) is translated 1 unit to the right B. The graph of g(x) is reflected across the x-axis C. The graph of g(x) is reflected across the y-axis
Transcript text: Given the graph of $y=g(x)$ in the figure, sketch the graph of each function and describe how it is obtained from the graph of $y=g(x)$ a) $y=p(-x)$ b) $y=9(x-2)$ c) $y=-9(x)$ d) $y=-g(x)+2$ a) Choose the correct graph of $y=g(-x)$ below A. B. C. D. Choose the correct answer below A. The graph of $g(x)$ is translated 1 unit to the right B. The graph of $g(x)$ is reflected across the $x$-axis C. The graph of $g(x)$ is reflected across the $y$-axis
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Solution

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Solution Steps

Step 1: Identify the given function and transformation

The given function is \( y = g(x) \). We need to determine the graph of \( y = g(-x) \).

Step 2: Understand the transformation

The transformation \( y = g(-x) \) reflects the graph of \( y = g(x) \) across the y-axis.

Step 3: Choose the correct graph

From the given options, we need to select the graph that shows the reflection of \( y = g(x) \) across the y-axis.

Final Answer

The correct graph is option C. The graph of \( g(x) \) is reflected across the y-axis.

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