In the given translation, each point is reflected about y-axis.
Compare the coordinates from the figure:
[tex]A=(0,7)[/tex] and [tex]A'=(0,7)[/tex]
[tex]B=(-4,2)[/tex] and [tex]B'=(4,2)[/tex]
[tex]C=(-2,-3)[/tex] and [tex]C'=(2,-3)[/tex]
[tex]D=(0,-3)[/tex] and [tex]D'=(0,-3)[/tex]
When a point is reflected about y-axis, the sign of [tex]x[/tex]-coordinate changes and the [tex]y[/tex] coordinate remains the same.
Here, the [tex]y[/tex]-coordinates of the point and their images is same and the sign of the [tex]x[/tex]-coordinates changes.
Also, it can be seen that the distance of each point from [tex]y[/tex]-axis is same as the distance of its image from [tex]y[/tex]-axis.
So, in the given translation, each point is reflected about y-axis.
Learn more about reflection here:
https://brainly.com/question/14022588?referrer=searchResults