Question

The graph of f(x) = \x is translated 6 units to the right and 2 units up to form a new function. Which statement about the
range of both functions is true?
The range is the same for both functions: {yly is a real number}.
The range is the same for both functions: {yl y >0}.
The range changes from {y|y>0}to{yly> 2).
The range changes from {y|y> 0} to {y|y26).
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Answer 1

Using translation concepts, the correct statement regarding the range of both functions is given by:

The range changes from {y|y>0}to{yly> 2).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In thus problem, the function is:

$f(x) = \sqrt{x}$

Which has range y > 0. The translation that changes the range is a shift up/down, and in this case it is shifted up 2 units, hence the range will be of y > 2.

Hence, the correct option will be given by:

The range changes from {y|y>0}to{yly> 2).

More can be learned about translation concepts at https://brainly.com/question/4521517