Transformation involves changing the size and position of a figure.
The new coordinates of the figure is:
[tex]\mathbf{F" = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,0)}[/tex]
The coordinates are given as:
[tex]\mathbf{F = (-9,-9)}[/tex]
[tex]\mathbf{G = (3,-6)}[/tex]
[tex]\mathbf{H = (-3,-9)}[/tex]
When the figure is dilated by 2/3, the new coordinates are:'
[tex]\mathbf{F' =\frac 23 \times (-9,-9) = (-6,-6)}[/tex]
[tex]\mathbf{G' =\frac 23 \times (3,-6) = (2,-4)}[/tex]
[tex]\mathbf{H' =\frac 23 \times (-3,-9) = (-2,-6)}[/tex]
When the figure is further translated up by 6 units, the new coordinates are:
[tex]\mathbf{F" = (-6,-6 + 6) = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,-4 + 6) = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,-6 + 6) = (-2,0)}[/tex]
Hence, the new coordinates are:
[tex]\mathbf{F" = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,0)}[/tex]
Read more about transformation at:
https://brainly.com/question/11707700
