Final answer:
The translation of the graph of y = |x| so that the point (1, 1) is moved to (1, 4) results in the new equation y = |x| + 3.
Step-by-step explanation:
The question asks about the translation of the graph of an absolute value function, specifically |x|. When a point on a graph is translated, the position of the entire graph shifts accordingly. For the given function y = |x|, the point (1, 1) on this graph is to be moved to (1, 4), which involves a translation of +3 units in the y-direction (upward).
To achieve this, we add 3 to the original y-value of the function, leading to a new equation y = |x| + 3. Therefore, the equation of the new graph after the translation is y = |x| + 3.