Explanation
From the question
we are simply asked to get the new coordinates of point C if the triangle ABC is translated three units to the left and nine units down
To do so, we will make use of the relationship
If a coordinate is translated left or right, it affects the x-coordinate. Left is negative, Right is positive
If a coordinate is translated up or down, it affects the y-coordinates. Down is negative, Up is positive
Therefore
For point C
The initial coordinate is (-1,2)
After the triangle has been translated, we will have
[tex]\begin{gathered} x-value=-1-3=-4 \\ y-value=2-9=-7 \end{gathered}[/tex]
Therefore, we have the new coordinate as (-4,-7)
The answer is
