Math  /  Algebra

QuestionThe graph of f(x)=x is sketched in red and the graph of g(x) is sketched in green. Use the translation rule and f(x)=x to identify the function g(x).\text{The graph of } f(x) = \sqrt{x} \text{ is sketched in red and the graph of } g(x) \text{ is sketched in green. Use the translation rule and } f(x) = \sqrt{x} \text{ to identify the function } g(x).
The graph of g(x) is shifted down 4 units from f(x).\text{The graph of } g(x) \text{ is shifted down 4 units from } f(x).

Studdy Solution
Since g(x) g(x) is shifted down 4 units from f(x) f(x) , we apply this translation to f(x)=x f(x) = \sqrt{x} .
This means g(x)=x4 g(x) = \sqrt{x} - 4 .
The function g(x) g(x) is:
g(x)=x4 g(x) = \sqrt{x} - 4

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