Answer:
see attached
Explanation:
You want to identify the graph of f(x) = log₂(x -2).
Graph
The function argument (x-2) means the original graph of log₂(x) is shifted 2 units to the right. The only graph with the log function shifted to the right is the one attached.
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Additional comment
Your function is written here as though you want the graph of the linear equation y = log(2)·x -2. This would have a y-intercept of -2, and a slope of log(2), about 0.301. This is the interpretation demanded by the Order of Operations.
In math expressions typography and grouping are important to the meaning. At least, this could be written in plain text as log2(x -2), or log(x-2)/log(2). At best, it would be properly typeset using the tools provided, or shown as a picture.