By definition. a Translation is a transformation in which a figure is moved a fixed distance in a fixed direction.
The Image is the figure obtained after the transformation and the Pre-Image is the original figure.
In this case, you know that the figure shown in the picture must be translated 5 units up. Therefore, the rule for this transformation is:
[tex](x,y)\rightarrow(x,y+5)[/tex]
You can identify that the marked point on the Pre-Image has the following coordinates:
[tex]\mleft(-4,-3\mright)[/tex]
Therefore, applying the rule for this transformation, you get that the coordinates of the marked point in the final figure, are:
[tex]\mleft(-4,-3\mright)\rightarrow\mleft(-4,-3+5\mright)\rightarrow(-4,2)[/tex]
The answer is:
Coordinates of the marked point in the original figure:
[tex](-4,-3)[/tex]
Coordinates of the marked point in the final figure:
[tex]\mleft(-4,2\mright)[/tex]
