Point Q' is the image of Q(-7,-6) under the translation (x,y) (x + 12, y + 8).
To find the image Q' under the translation, we shift the x-coordinate of Q by 12 and the y-coordinate of Q by 8.
For the x-coordinate: x + 12
For the y-coordinate: y + 8
So, the image of Q(-7,-6) under the translation (x,y) (x + 12, y + 8) is Q'(-7 + 12, -6 + 8) = Q'(5, 2).
To find the image of the point Q(-7,-6) under the translation (x,y) -> (x + 12, y + 8), you need to add 12 to the x-coordinate and 8 to the y-coordinate of Q.
Adding the values, we get:
Q' = (-7 + 12, -6 + 8)
= (5, 2)
Therefore, the image of Q(-7,-6) under the translation (x,y) -> (x + 12, y + 8) is Q'(5, 2).