The translated coordinates for the points D, E, F, and G using the rule (x,y)→(x+1,y-6) are (-11, 0), (-3, 0), (-5, 3), and (-9, 3) respectively.
Step-by-step explanation:
The question involves finding the coordinates of the translated figures using the given transformation rule (x,y)→(x+1,y-6). Applying this rule, we move each point of the pre-image 1 unit to the right (increase the x-coordinate by 1) and 6 units down (decrease the y-coordinate by 6). Here's the transformation for each point:
Point D: (-12, 6) → (-12+1, 6-6) = (-11, 0)
Point E: (-4, 6) → (-4+1, 6-6) = (-3, 0)
Point F: (-6, 9) → (-6+1, 9-6) = (-5, 3)
Point G: (-10, 9) → (-10+1, 9-6) = (-9, 3)
The new coordinates for points D, E, F, and G after translation are (-11, 0), (-3, 0), (-5, 3), and (-9, 3), respectively.