Final answer:
The translation is a horizontal shift of 1 unit to the left and a vertical shift of 1 unit downward.
Step-by-step explanation:
The given equations are y = x^2 + 3 and y = (x + 1)^2 - 1.
To find the translation between the two equations, we need to compare the general forms of both equations.
We can see that the translation is a horizontal shift of 1 unit to the left and a vertical shift of 1 unit downward.