Questions: Use the drawing tool(s) to form the correct answer on the provided graph. Function f is shown on the provided graph. Function g is a transformation of f as shown below. g(x) = f(x) + 5 Graph function g on the same coordinate plane.

Use the drawing tool(s) to form the correct answer on the provided graph. Function f is shown on the provided graph. Function g is a transformation of f as shown below. g(x) = f(x) + 5 Graph function g on the same coordinate plane.
Transcript text: Use the drawing tool(s) to form the correct answer on the provided graph. Function $f$ is shown on the provided graph. Function $g$ is a transformation of $f$ as shown below. \[ g(x)=f(x)+5 \] Graph function $g$ on the same coordinate plane.
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Solution

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Solution Steps

Step 1: Identify the Transformation

The function \( g(x) = f(x) + 5 \) is a vertical translation of the function \( f(x) \) by 5 units upwards.

Step 2: Apply the Transformation

To graph \( g(x) \), take the graph of \( f(x) \) and shift every point on the graph 5 units upwards.

Final Answer

The function \( g(x) \) is a vertical translation of \( f(x) \) by 5 units upwards.

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -10, "ymax": 10}, "commands": ["g(x) = f(x) + 5"], "latex_expressions": ["$g(x) = f(x) + 5$"]}

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