Question

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

Answer 1

Answer:2 units left of g(x)

2 units down from g(x)

Step-by-step explanation: plug in the formulas

Answer 2

Answer:

Function is shifted horizontally, 2 units left of g(x). There is no vertical shift.

Step-by-step explanation:

Adding a real number s to the argument of a function will have an effect of shifting the graph of the function horizontally by s units. If s>0 the shift is to the left, for s<0 the shift is to the right. See attached plot of the two functions  of g(x) and g(x+2), if you are curious enough.