Final answer:
To reflect (1, -4) over the x-axis and then translate the result up 3 units, the final coordinates of the point will be (-1, 7).
Step-by-step explanation:
To reflect a point over the x-axis, we keep the x-coordinate the same and change the sign of the y-coordinate. So, reflecting the point (1, -4) over the x-axis will result in (-1, 4).
To translate a point up 3 units, we add 3 to the y-coordinate. So, translating the point (-1, 4) up 3 units will result in (-1, 7).