Final answer:
To translate the graph of y = |1/2x - 2| + 3 one unit to the right, the modified equation is y = |1/2(x - 1) - 2| + 3. This shifts the entire graph one unit horizontally to the right.
Step-by-step explanation:
To translate the graph of the equation y = |1/2x - 2| + 3 one unit to the right, we need to adjust the x variable to account for the horizontal shift. A translation of one unit to the right is represented by subtracting 1 from the x-variable within the absolute value. Thus, the new equation becomes:
y = |1/2(x - 1) - 2| + 3.
This transformation shifts every point on the graph of y = |1/2x - 2| + 3 exactly one unit to the right while maintaining the shape and orientation of the graph.