Final answer:
To translate the given graph one unit to the right, subtract 1 from the x variable inside the absolute value to get the equation y = |1/2(x - 1) - 2| + 3.
Step-by-step explanation:
To translate the graph of the equation y = |1/2x - 2| + 3 one unit to the right, you need to subtract 1 from the x variable within the absolute value. This is because moving a graph to the right involves decreasing the x-coordinates of all points by 1.
The translated equation is y = |1/2(x - 1) - 2| + 3. To clarify this, we apply the translation inside the absolute value, changing x to (x - 1), which reflects the shift of the entire graph one unit to the right on the x-axis.