Which function represents the graph of h (x) = 3∣∣x+1∣∣-2 after it is translated 2 units to the left? g (x) = 3∣∣x+3∣∣-2 g (x) = 3|x-2|-2 g (x) = 3|x-1|-2 g (x) = 3∣∣x+1∣∣-4

h (x) = 3Ix + 3I - 2 ⇒ the first answer

Step-by-step explanation:

∵ f (x) = x translated horizontally a units

∴ f (x) = x - a (translated to right), f (x) = x + a (translated to left)

∵ h (x) = 3Ix + 1I - 2

∵ It translated 2 unit to the left

That means x + 1 will add by 2

∴ h (x) = 3Ix + 3I - 2 ⇒ the first answer