To answer this question, we need to take into account the reflection over the y-axis is given by the following rule:
If (x, y) is reflected over the y-axis, then the image is (-x, y).
Then, from the graph, we have that the coordinates are:
B(5, 5)
S(2, 2)
I(5,0)
Then, the image across the y-axis is:
B(5, 5) ---> Ry-axis ---> (-5, 5)
S(2, 2) ---> Ry-axis ---> (-2, 2)
I(5, 0) ---> Ry-axis ---> (-5,0)
Then, the rule for the new image is (-x, y).