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Answer :
Using translation concepts, it is found that the equation that represents the transformed function is:
[tex]y = -\sqrt{x-4} + 2[/tex]
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 this problem, the original graph is:
[tex]y = \sqrt{x}[/tex]
It moves up, while the new graph moves down, hence:
[tex]y = -\sqrt{x}[/tex]
It starts at (0,0), while the new graph starts at (0,2), hence:
[tex]y = -\sqrt{x} + 2[/tex]
It also goes through (4,0), that is, it was shifted 4 units to the right, hence:
[tex]y = -\sqrt{x+4} + 2[/tex]
More can be learned about translation concepts at https://brainly.com/question/4521517
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