Final answer:
The correct transformations for the function y = -sin(x) + 5 are a reflection across the x-axis and a translation upward by 5 units, corresponding to Option A).
Step-by-step explanation:
The function in question is y = -sin(x) + 5. This function represents two transformations applied to the basic sine function, y = sin(x). The negative sign in front of the sine function indicates a reflection over the x-axis, which means the graph of the sine function will be upside down compared to the standard sine curve. The addition of 5 after the sine function indicates a vertical translation upward by 5 units on the y-axis.
Therefore, the correct transformations for the function y = -sin(x) + 5 are a reflection across the x-axis followed by a translation upward by 5 units. These transformations would change the appearance of the basic sine curve but maintain its periodic nature and shape. The answer to the question is Option A), which is a reflection and translation upward by 5 units.