Question 1177494
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A) The question makes no sense; it is not valid to treat this as transformations of a parent graph.<br>
There are 5 steps in evaluating the function for a given value of x:
1) times 2
2) add 6
3) subtract 1
4) take the square root
5) subtract 1/2<br>
But those operations can't be represented as transformations of a graph.<br>
B) The domain is restricted by requiring that the radicand (2x+6-1) be non-negative.  You can figure that out.<br>
The range is limited by the fact that a square root is always 0 or positive; that means the minimum value of this function is -1/2.  There is clearly no limit to how large the function value can be, so the range is (-1/2,infinity).<br>
C) This is not standard mathematical terminology; it is likely something particular to the textbook or other reference you are using.  The one obvious key point on this graph is at the lowest point in the domain; I have no idea what your reference might consider other key points.<br>