Final answer:
To translate (-5,4) to the right 2 units, add 2 to the x-coordinate. To reflect the result over the y-axis, change the sign of the x-coordinate. The final coordinates are (3, 4).
Step-by-step explanation:
To translate a point to the right by 2 units, we add 2 to the x-coordinate.
So, if we start with the point (-5, 4), after translating it to the right by 2 units, the new x-coordinate would be -5 + 2 = -3.
The y-coordinate remains the same. So, the new point is (-3, 4).
To reflect a point over the y-axis, we change the sign of the x-coordinate.
So, if we start with the point (-3, 4), after reflecting it over the y-axis, the new x-coordinate would be -(-3) = 3.
The y-coordinate remains the same. So, the final point is (3, 4).