Questions: Use the graph of y = f(x) to graph the function g(x) = f(x) + 1. Choose the correct graph of g below: A. B. C. D.

Use the graph of y = f(x) to graph the function g(x) = f(x) + 1. Choose the correct graph of g below: A. B. C. D.
Transcript text: Use the graph of y = f(x) to graph the function g(x) = f(x) + 1. Choose the correct graph of g below: $\bigcirc$ A. $\bigcirc$ B. $\bigcirc$ C. $\bigcirc$ D.
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Solution

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Solution Steps

Step 1: Identify the given function and its transformation

The given function is \( g(x) = -f(x) \). This indicates that the function \( f(x) \) is reflected over the x-axis to obtain \( g(x) \).

Step 2: Analyze the graph of \( f(x) \)

Examine the graph of \( f(x) \) provided on the left side of the screen. Identify key points and their coordinates.

Step 3: Reflect the points over the x-axis

Reflect each key point of \( f(x) \) over the x-axis to obtain the corresponding points of \( g(x) \). For a point \((a, b)\) on \( f(x) \), the reflected point on \( g(x) \) will be \((a, -b)\).

Final Answer

Choose the graph that correctly represents the reflection of \( f(x) \) over the x-axis. This graph will have the same x-coordinates as \( f(x) \) but with the y-coordinates negated.

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