Step-by-step explanation:
Given f(x) : (2, -3)
Translation's:
f(x) + 2 then graph translates up by 2 units up =

f(x) - 3 then graph translates down 3 units down =

f(x + 5) then graph translates left 5 units =

-f(x) then graph reflects over x axis =

f(-x) then graph reflects over y axis =

f(2x) then graph has horizontal compression = (2/2, -3) =

2f(x) then graph has vertical compression = (2, (-3)2) =

-f(x - 4) then graph reflects over x axis, moves 4 units to right =

Solution 2
Parent function: y = x²
Graph function: f(x) = (x + 8)² - 4
After Identification:
D. The graph has a translation of 8 units left and 4 units down.