Translate triangle ABC left 3, down 5 and then perform a dilation of 4 around the center at the origin.
The coordinates are
A (3,2)
B (6,2)
C (3,4)
After translating triangle ABC left 3, down 5, the coordinates become:
A (0, -3)
B (3, -3)
C (0, -1)
Performing a dilation of 4 around the center at the origin:
A (0*4, -3*4) = (0, -12)
B (3*4, -3*4) = (12, -12)
C (0*4, -1*4) = (0, -4)
So the new coordinates of the triangle after translation and dilation are:
A (0, -12)
B (12, -12)
C (0, -4)