Analyze the function, \( g(\mathbf{x})=\sqrt{x-5} \) Select the proper description of the graph of the function. Hook Shifted 5 Units Left Lounge Chair Shifted 5 Units Right Hook Shifted 5 Units Right

The function \( g(\mathbf{x})=\sqrt{x-5} \) represents a square root function that is transformed from the standard form \( f(\mathbf{x})=\sqrt{x} \). The \(-5\) inside the square root indicates a horizontal shift to the right by 5 units. Thus, the graph starts at the point (5,0) and opens upwards, resembling a lounge chair. It’s a smooth curve that extends infinitely to the right! In terms of mathematical transformations, when you see a function of the form \( \sqrt{x-h} \), the \( h \) value directly determines the horizontal shift. Since here it is a positive \( 5 \), it's a clear indicator that the graph of \( g(x) \) will lounge comfortably to the right!