To move a function up, you add outside the function: f (x) + b is f (x) moved up b units.
Moving the function down works the same way; f (x) – b is f (x) moved down b units.
To shift a function left, add inside the function's argument: f (x + b) gives f (x)shifted b units to the left. Shifting to the right works the same way; f (x – b) is f (x) shifted units to the right.
Given that
[tex]G(x)=x^2[/tex]
If this function is shifted down four units and to the left three then we will have
[tex]f(x)=(x+3)^2-4[/tex]
Therefore, you will write
(x+3)^2-4
