Question 1119800
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These questions cannot be answered definitively.  The "general symbolic form of a square root function" and the "general symbolic form of a rational function" are things for which there is not a universally accepted answer.  The answers will depend on the textbook or other resource you are using.<br>
In terms of transformations of "parent" functions, there are examples such as<br>
y = a|x-h|+k   for an absolute value function and<br>
y = a(x-h)^2+k   for a quadratic function.<br>
So if we go by those examples, the best answer choices for your two questions are<br>
square root:  y = sqrt(x-a)+b  which I think is your answer choice D<br>
and<br>
rational function:  y = 1/(x-b)+c  which is your answer choice B<br>
However, neither of those is a really good "general form".<br>
Answer choice D for the square root has a horizontal shift and a vertical shift; but it lacks a vertical stretch.<br>
Answer choice B for the rational function is the same -- it has a horizontal shift and a vertical shift but no vertical stretch.<br>
And furthermore it is a general form of the simplest form of a rational function, involving a single linear polynomial in the denominator.  A rational function can be ANY function in the form of a fraction with any polynomial(s) in the numerator and denominator.