Questions: The graph of f(x) = 2x is given below. Write the equation of a function g(x) which would shift the graph of f(x) right 5 units.

The graph of f(x) = 2x is given below. Write the equation of a function g(x) which would shift the graph of f(x) right 5 units.
Transcript text: The graph of f(x) = 2|x| is given below. Write the equation of a function g(x) which would shift the graph of f(x) right 5 units.
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Solution

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Solution Steps

Step 1: Identify the Base Function

The base function is given as $f(x)$. For this problem, we do not specify the explicit form of $f(x)$ as it can be any well-defined function.

Step 2: Determine the Transformations

The transformations to be applied are: horizontal shift right by 5 units.

Step 3: Apply the Transformations

The general form to represent the transformed function $g(x)$ is:

\[ g(x) = 1 \cdot f(1(x + 5)) \]

Final Answer:

The transformed function $g(x)$ is obtained by applying the specified transformations to the base function $f(x)$. The general form of the transformed function is given by the equation above.

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