The coordinates of the image after the transformation are
(1, -4)
(1, -5)
(8, -9)
(9, -5)
(8, -1)
How to find the coordinates
The coordinate are sought using the reflection rule for reflection over y-axis.
The reelection rule here is
(x, y) becomes (-x, y)
In this transformation, the preimage is reflected across the y-axis.
Hence the y-axis is the line of reflection. and the image are formed at the other sides of the y-axis having same distance apart
The image is attached