The coordinates of the parent figure are,
[tex](-7,-8),(-7,-1),(-3,-1),(-3,-8)[/tex]
The graph of the parent figure will be
The parent image is then translated 4 units right and 5 units up.
It means that the coordinates (x,y) will be increased by (4,5).
Therefore,
[tex]\begin{gathered} (-7+4,-8+5)\rightarrow(-3,-3) \\ (-7+4,-1+5)\rightarrow(-3,4) \\ (-3+4,-1+5)\rightarrow(1,4) \\ (-3+4,-8+5)\rightarrow(1,-3) \end{gathered}[/tex]
The transformed coordinates will be
[tex](-3,-3),(-3,4),(1,4),(1,-3)[/tex]
Therefore, the graph showing both the parent and the transformed figure will be shown below
Hence, the correct option is Option A
