Final answer:
The point (0, 4) after a dilation by a scale factor of 3/3, centered at the origin, remains the same at (0, 4) since the scale factor simplifies to 1.
Step-by-step explanation:
The student's question involves finding the image of a point after a dilation with a given scale factor with respect to the origin.
To solve this problem, we need to apply the scale factor to the coordinates of the point. Since the scale factor given is 3/3, which simplifies to 1, the point after dilation would remain unchanged because multiplying by 1 does not alter the value. Thus, the point (0, 4) after a dilation by a scale factor of 3/3 (which is equivalent to 1), centered at the origin, is (0, 4).