f(x)to f(x+2)+1 it is translated ____ units to the _____ and _____ units ___

The translation of the function \( f(x) \) to \( f(x+2) + 1 \) involves two transformations:

1. Horizontal translation: The \( f(x+2) \) part indicates a horizontal shift of 2 units to the left. This is because replacing \( x \) with \( x + c \) translates the function \( c \) units in the opposite direction.

2. Vertical translation: The \( +1 \) indicates a vertical shift of 1 unit up. This means that the entire function is raised by 1 unit.

Putting it all together, the transformation can be described as:

• It is translated 2 units to the left and 1 unit up.