Question

question
the graph of ( f(x) = -2sqrt{x} ) is given below. write the equation of a function ( g(x) ) which would shift the graph of ( f(x) ) right 1 unit.
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Explanation:

Step1: Recall horizontal shift rule

To shift a function \( y = f(x) \) to the right by \( h \) units, the new function is \( y = f(x - h) \). Here, \( h = 1 \).

Step2: Apply the shift to \( f(x) \)

Given \( f(x)=-2\sqrt{x} \), shifting right 1 unit means replacing \( x \) with \( x - 1 \) in the function. So \( g(x)=f(x - 1)=-2\sqrt{x - 1} \).

Answer:

\( g(x)=-2\sqrt{x - 1} \)