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The greatest integer function is $\"\"$ .

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Observe the graph:

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The graph of $\"\"$ is the graph of $\"\"$ translated $\"\"$ units to the left when $\"\"$ , or translated $\"\"$ units up when $\"\"$ .

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The graph of $\"\"$ is the graph of $\"\"$ translated $\"\"$ units to the left when $\"\"$ , or translated $\"\"$ units up when $\"\"$ .