When a shape is reflected, it must be reflected across a line.
The coordinates of the image of a is [tex]\mathbf{(-8,-10)}[/tex]
The vertex of point a is:
[tex]\mathbf{a = (8,-10)}[/tex]
When a point is reflected across the y-axis, the transformation rule is:
[tex]\mathbf{(x,y) \to (-x,y)}[/tex]
So, we have:
[tex]\mathbf{(8,-10) \to (-8,-10)}[/tex]
Hence, the coordinates of the image of a is [tex]\mathbf{(-8,-10)}[/tex]
Read more about reflections at:
https://brainly.com/question/938117
