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

The graph of the function \( g(\mathbf{x})=\sqrt{x-5} \) is a function that is only defined for \( x \geq 5 \). Therefore, it starts at the point \( (5,0) \) and resembles the right half of a U-shaped curve, extending upwards as \( x \) increases. This indicates a shift of the basic square root function \( \sqrt{x} \) to the right by 5 units. When interpreting the visual transformation of this function, we can think of it as a hook due to its shape, indicating that it starts at a single point and curves upwards. Thus, the correct description of the graph is a "Hook Shifted 5 Units Right."