Which graph represents the function?
f(x)=x−2−−−−√3
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The graph that represents the function f(x) = √(x-2) - √(3) is a square root graph shifted 2 units to the right and 3 units down.
Here is the step-by-step process to create the graph:
1. Start with the graph of y = √(x).
2. Shift the graph 2 units to the right by replacing x with x - 2. The graph becomes y = √(x - 2).
3. Shift the graph 3 units down by subtracting sqrt(3) from the function. The final graph is y = √(x - 2) - √(3).
The graph should look like a square root graph that starts at (2,-√(3)) and extends to the right.
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