Final answer:
The new function f(x+13)-3 shifts the parent function 13 units to the left and 3 units downwards.
Step-by-step explanation:
If the new function is f(x+13)-3, the parent function will shift in two ways. First, let's address the shift caused by f(x+13).
In general, if f(x) is some function, then f(x - d) translates the function in the positive x-direction by a distance d, and f(x + d) translates the function in the negative x-direction by a distance d. Therefore, f(x+13) will shift the parent function 13 units to the left.
The second part of the new function, -3, represents a vertical shift. Specifically, the function will shift downwards by 3 units. In conclusion, the new function translation involves a horizontal shift to the left by 13 units and a downward shift by 3 units.