Final answer:
The ordered pair (-5,4) after being reflected over the y-axis and shifted 2 units to the left results in the new coordinate (3,4).
Step-by-step explanation:
The question deals with transformations in the coordinate plane, specifically reflection and translation. The ordered pair (-5,4) is first reflected over the y-axis. Reflecting a point over the y-axis inverts its x-coordinate, so the x-coordinate of -5 becomes 5. The transformed coordinate after reflection is (5,4). The next step is to shift this point left by 2 units along the x-axis. Shifting left reduces the x-coordinate by 2, therefore, the x-coordinate becomes 5 - 2, which equals 3. Therefore, the new coordinate after both transformations is (3,4). The correct option for the new coordinate after reflecting over the y-axis and shifting left 2 units from (-5,4) is b. (3,4).