Which set of steps will translate f (x) = 6x to g (x) = 6x-5-7?

vertical translation of 5 units in the negative y direction, followed by a vertical translation of 7 units in the negative y direction.

Step-by-step explanation:

given f (x) = 6x

f (x) = 6x - --> f (x) = 6x - 5 (Vertical translation by 5 units in the negative y (i. e downward) direction)

f (x) = 6x - 5 - --> f (x) = 6x - 5 - 7 (Vertical translation by 7 units in the negative y (i. e downward) direction)

hence it is a vertical translation of 5 units in the negative y direction, followed by a vertical translation of 7 units in the negative y direction.