Questions: The function y=log(x) is translated 1 unit right and 2 units down. Which is the graph of the translated function?

Transcript text: The function $y=\log (x)$ is translated 1 unit right and 2 units down. Which is the graph of the translated function?

Solution

Step 1: Identify the Original Function

The original function given is $ y = \log(x) $.

Step 2: Determine the Translation

The function is translated 1 unit to the right and 2 units down. This means we need to adjust the function accordingly:

Step 3: Apply the Translation to the Function

Apply the translations to the original function: \[ y = \log(x) \] \[ y = \log(x - 1) - 2 \]

The translated function is $ y = \log(x - 1) - 2 $.

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