The function g (x) = x^2 + 3. The function f (x) = g (x+2)

the function f (x) is shifted horizontally___?

the function f (x) is shifted vertically___?

The function f (x) is shifted horizontally left by 2 units.

Step-by-step explanation:

Given the function is g (x) = x² + 3.

Now, f (x) = g (x + 2) = (x + 2) ² + 3

Therefore, for a certain value of y, the x-value of function g (x) will be 2 units more than that of function f (x).

Therefore, the function f (x) is shifted horizontally (the x-axis is the horizontal axis) left by 2 units compared to the function g (x). (Answer)