A reflection over the y-axis is given by:
[tex](x,y)\rightarrow(-x,y).[/tex]
A translation up 4 units is given by:
[tex](x,y)\rightarrow(x,y+4).[/tex]
The combination of the two transformations is given by:
[tex](x,y)\rightarrow(-x,y+4).[/tex]
Applying this transformation to the point A = (-2, -5), we get:
[tex]A=(-2,-5)\rightarrow A^{\prime}=(+2,-5+4)=(2,-1).[/tex]
Answer: A' = (2, -1)
